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Finding the Third Proportional to 651,160 and 1,407,591

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Solution

The third proportional to 651,160 and 1,407,591 is: 3,042,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,160 : 1,407,591 = 1,407,591 : x
  2. Step 2: Convert to fraction form
    651,160/1,407,591 = 1,407,591/x
  3. Step 3: Cross multiply
    651,160x = 1,407,591 × 1,407,591
  4. Step 4: Simplify right side
    651,160x = 1,981,312,423,281
  5. Step 5: Solve for x
    x = 1,981,312,423,281/651,160
  6. Step 6: Final answer
    x = 3,042,742.83

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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.