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Finding the Third Proportional to 649,876 and 1,425,292

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Solution

The third proportional to 649,876 and 1,425,292 is: 3,125,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,876 : 1,425,292 = 1,425,292 : x
  2. Step 2: Convert to fraction form
    649,876/1,425,292 = 1,425,292/x
  3. Step 3: Cross multiply
    649,876x = 1,425,292 × 1,425,292
  4. Step 4: Simplify right side
    649,876x = 2,031,457,285,264
  5. Step 5: Solve for x
    x = 2,031,457,285,264/649,876
  6. Step 6: Final answer
    x = 3,125,915.23

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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.