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Finding the Third Proportional to 415,532 and 896,674

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Solution

The third proportional to 415,532 and 896,674 is: 1,934,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,532 : 896,674 = 896,674 : x
  2. Step 2: Convert to fraction form
    415,532/896,674 = 896,674/x
  3. Step 3: Cross multiply
    415,532x = 896,674 × 896,674
  4. Step 4: Simplify right side
    415,532x = 804,024,262,276
  5. Step 5: Solve for x
    x = 804,024,262,276/415,532
  6. Step 6: Final answer
    x = 1,934,927.42

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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.