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Finding the Third Proportional to 415,594 and 908,948

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Solution

The third proportional to 415,594 and 908,948 is: 1,987,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,594 : 908,948 = 908,948 : x
  2. Step 2: Convert to fraction form
    415,594/908,948 = 908,948/x
  3. Step 3: Cross multiply
    415,594x = 908,948 × 908,948
  4. Step 4: Simplify right side
    415,594x = 826,186,466,704
  5. Step 5: Solve for x
    x = 826,186,466,704/415,594
  6. Step 6: Final answer
    x = 1,987,965.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.