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Finding the Third Proportional to 616,909 and 1,486,159

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Solution

The third proportional to 616,909 and 1,486,159 is: 3,580,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,909 : 1,486,159 = 1,486,159 : x
  2. Step 2: Convert to fraction form
    616,909/1,486,159 = 1,486,159/x
  3. Step 3: Cross multiply
    616,909x = 1,486,159 × 1,486,159
  4. Step 4: Simplify right side
    616,909x = 2,208,668,573,281
  5. Step 5: Solve for x
    x = 2,208,668,573,281/616,909
  6. Step 6: Final answer
    x = 3,580,217.78

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.