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Finding the Third Proportional to 419,034 and 904,468

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Solution

The third proportional to 419,034 and 904,468 is: 1,952,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,034 : 904,468 = 904,468 : x
  2. Step 2: Convert to fraction form
    419,034/904,468 = 904,468/x
  3. Step 3: Cross multiply
    419,034x = 904,468 × 904,468
  4. Step 4: Simplify right side
    419,034x = 818,062,363,024
  5. Step 5: Solve for x
    x = 818,062,363,024/419,034
  6. Step 6: Final answer
    x = 1,952,257.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.