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Finding the Third Proportional to 653,849 and 1,407,891

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Solution

The third proportional to 653,849 and 1,407,891 is: 3,031,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,849 : 1,407,891 = 1,407,891 : x
  2. Step 2: Convert to fraction form
    653,849/1,407,891 = 1,407,891/x
  3. Step 3: Cross multiply
    653,849x = 1,407,891 × 1,407,891
  4. Step 4: Simplify right side
    653,849x = 1,982,157,067,881
  5. Step 5: Solve for x
    x = 1,982,157,067,881/653,849
  6. Step 6: Final answer
    x = 3,031,521.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.