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Finding the Third Proportional to 4,032,466 and 6,388,317

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Solution

The third proportional to 4,032,466 and 6,388,317 is: 10,120,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032,466 : 6,388,317 = 6,388,317 : x
  2. Step 2: Convert to fraction form
    4,032,466/6,388,317 = 6,388,317/x
  3. Step 3: Cross multiply
    4,032,466x = 6,388,317 × 6,388,317
  4. Step 4: Simplify right side
    4,032,466x = 40,810,594,092,489
  5. Step 5: Solve for x
    x = 40,810,594,092,489/4,032,466
  6. Step 6: Final answer
    x = 10,120,505.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.