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Finding the Third Proportional to 904,418 and 1,439,652

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Solution

The third proportional to 904,418 and 1,439,652 is: 2,291,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,418 : 1,439,652 = 1,439,652 : x
  2. Step 2: Convert to fraction form
    904,418/1,439,652 = 1,439,652/x
  3. Step 3: Cross multiply
    904,418x = 1,439,652 × 1,439,652
  4. Step 4: Simplify right side
    904,418x = 2,072,597,881,104
  5. Step 5: Solve for x
    x = 2,072,597,881,104/904,418
  6. Step 6: Final answer
    x = 2,291,637.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.