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Finding the Third Proportional to 912,823 and 1,952,285

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Solution

The third proportional to 912,823 and 1,952,285 is: 4,175,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,823 : 1,952,285 = 1,952,285 : x
  2. Step 2: Convert to fraction form
    912,823/1,952,285 = 1,952,285/x
  3. Step 3: Cross multiply
    912,823x = 1,952,285 × 1,952,285
  4. Step 4: Simplify right side
    912,823x = 3,811,416,721,225
  5. Step 5: Solve for x
    x = 3,811,416,721,225/912,823
  6. Step 6: Final answer
    x = 4,175,417.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.