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Finding the Third Proportional to 649,874 and 1,425,288

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Solution

The third proportional to 649,874 and 1,425,288 is: 3,125,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,874 : 1,425,288 = 1,425,288 : x
  2. Step 2: Convert to fraction form
    649,874/1,425,288 = 1,425,288/x
  3. Step 3: Cross multiply
    649,874x = 1,425,288 × 1,425,288
  4. Step 4: Simplify right side
    649,874x = 2,031,445,882,944
  5. Step 5: Solve for x
    x = 2,031,445,882,944/649,874
  6. Step 6: Final answer
    x = 3,125,907.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.