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Finding the Third Proportional to 4,228,988 and 6,809,316

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Solution

The third proportional to 4,228,988 and 6,809,316 is: 10,964,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228,988 : 6,809,316 = 6,809,316 : x
  2. Step 2: Convert to fraction form
    4,228,988/6,809,316 = 6,809,316/x
  3. Step 3: Cross multiply
    4,228,988x = 6,809,316 × 6,809,316
  4. Step 4: Simplify right side
    4,228,988x = 46,366,784,387,856
  5. Step 5: Solve for x
    x = 46,366,784,387,856/4,228,988
  6. Step 6: Final answer
    x = 10,964,037.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.