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Finding the Third Proportional to 828,173,296.69 and 1,210,228,169.13

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Solution

The third proportional to 828,173,296.69 and 1,210,228,169.13 is: 1,768,533,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,173,296.69 : 1,210,228,169.13 = 1,210,228,169.13 : x
  2. Step 2: Convert to fraction form
    828,173,296.69/1,210,228,169.13 = 1,210,228,169.13/x
  3. Step 3: Cross multiply
    828,173,296.69x = 1,210,228,169.13 × 1,210,228,169.13
  4. Step 4: Simplify right side
    828,173,296.69x = 1,464,652,221,362,529,536
  5. Step 5: Solve for x
    x = 1,464,652,221,362,529,536/828,173,296.69
  6. Step 6: Final answer
    x = 1,768,533,502.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.