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Finding the Third Proportional to 415,754 and 904,396

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Solution

The third proportional to 415,754 and 904,396 is: 1,967,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,754 : 904,396 = 904,396 : x
  2. Step 2: Convert to fraction form
    415,754/904,396 = 904,396/x
  3. Step 3: Cross multiply
    415,754x = 904,396 × 904,396
  4. Step 4: Simplify right side
    415,754x = 817,932,124,816
  5. Step 5: Solve for x
    x = 817,932,124,816/415,754
  6. Step 6: Final answer
    x = 1,967,346.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.