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Finding the Third Proportional to 904,854 and 1,399,791

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Solution

The third proportional to 904,854 and 1,399,791 is: 2,165,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,854 : 1,399,791 = 1,399,791 : x
  2. Step 2: Convert to fraction form
    904,854/1,399,791 = 1,399,791/x
  3. Step 3: Cross multiply
    904,854x = 1,399,791 × 1,399,791
  4. Step 4: Simplify right side
    904,854x = 1,959,414,843,681
  5. Step 5: Solve for x
    x = 1,959,414,843,681/904,854
  6. Step 6: Final answer
    x = 2,165,448.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.