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Finding the Third Proportional to 429,488 and 915,850

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Solution

The third proportional to 429,488 and 915,850 is: 1,952,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,488 : 915,850 = 915,850 : x
  2. Step 2: Convert to fraction form
    429,488/915,850 = 915,850/x
  3. Step 3: Cross multiply
    429,488x = 915,850 × 915,850
  4. Step 4: Simplify right side
    429,488x = 838,781,222,500
  5. Step 5: Solve for x
    x = 838,781,222,500/429,488
  6. Step 6: Final answer
    x = 1,952,979.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.