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Finding the Third Proportional to 904,221 and 1,231,393.50

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Solution

The third proportional to 904,221 and 1,231,393.50 is: 1,676,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,221 : 1,231,393.50 = 1,231,393.50 : x
  2. Step 2: Convert to fraction form
    904,221/1,231,393.50 = 1,231,393.50/x
  3. Step 3: Cross multiply
    904,221x = 1,231,393.50 × 1,231,393.50
  4. Step 4: Simplify right side
    904,221x = 1,516,329,951,842.25
  5. Step 5: Solve for x
    x = 1,516,329,951,842.25/904,221
  6. Step 6: Final answer
    x = 1,676,946.18

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.