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Finding the Third Proportional to 407,160 and 886,599

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Solution

The third proportional to 407,160 and 886,599 is: 1,930,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,160 : 886,599 = 886,599 : x
  2. Step 2: Convert to fraction form
    407,160/886,599 = 886,599/x
  3. Step 3: Cross multiply
    407,160x = 886,599 × 886,599
  4. Step 4: Simplify right side
    407,160x = 786,057,786,801
  5. Step 5: Solve for x
    x = 786,057,786,801/407,160
  6. Step 6: Final answer
    x = 1,930,586.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.