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Finding the Third Proportional to 904,209 and 1,231,377

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Solution

The third proportional to 904,209 and 1,231,377 is: 1,676,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,209 : 1,231,377 = 1,231,377 : x
  2. Step 2: Convert to fraction form
    904,209/1,231,377 = 1,231,377/x
  3. Step 3: Cross multiply
    904,209x = 1,231,377 × 1,231,377
  4. Step 4: Simplify right side
    904,209x = 1,516,289,316,129
  5. Step 5: Solve for x
    x = 1,516,289,316,129/904,209
  6. Step 6: Final answer
    x = 1,676,923.49

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Why These Related Problems?

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