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Finding the Third Proportional to 1,028,073,771 and 1,566,215,760

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Solution

The third proportional to 1,028,073,771 and 1,566,215,760 is: 2,386,046,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,073,771 : 1,566,215,760 = 1,566,215,760 : x
  2. Step 2: Convert to fraction form
    1,028,073,771/1,566,215,760 = 1,566,215,760/x
  3. Step 3: Cross multiply
    1,028,073,771x = 1,566,215,760 × 1,566,215,760
  4. Step 4: Simplify right side
    1,028,073,771x = 2,453,031,806,872,377,344
  5. Step 5: Solve for x
    x = 2,453,031,806,872,377,344/1,028,073,771
  6. Step 6: Final answer
    x = 2,386,046,484.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.