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Finding the Third Proportional to 420,680 and 912,342

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Solution

The third proportional to 420,680 and 912,342 is: 1,978,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,680 : 912,342 = 912,342 : x
  2. Step 2: Convert to fraction form
    420,680/912,342 = 912,342/x
  3. Step 3: Cross multiply
    420,680x = 912,342 × 912,342
  4. Step 4: Simplify right side
    420,680x = 832,367,924,964
  5. Step 5: Solve for x
    x = 832,367,924,964/420,680
  6. Step 6: Final answer
    x = 1,978,624.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.