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Finding the Third Proportional to 415,542 and 896,696

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Solution

The third proportional to 415,542 and 896,696 is: 1,934,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,542 : 896,696 = 896,696 : x
  2. Step 2: Convert to fraction form
    415,542/896,696 = 896,696/x
  3. Step 3: Cross multiply
    415,542x = 896,696 × 896,696
  4. Step 4: Simplify right side
    415,542x = 804,063,716,416
  5. Step 5: Solve for x
    x = 804,063,716,416/415,542
  6. Step 6: Final answer
    x = 1,934,975.81

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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.