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Finding the Third Proportional to 467,569,689 and 1,016,522,387

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Solution

The third proportional to 467,569,689 and 1,016,522,387 is: 2,209,975,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,569,689 : 1,016,522,387 = 1,016,522,387 : x
  2. Step 2: Convert to fraction form
    467,569,689/1,016,522,387 = 1,016,522,387/x
  3. Step 3: Cross multiply
    467,569,689x = 1,016,522,387 × 1,016,522,387
  4. Step 4: Simplify right side
    467,569,689x = 1,033,317,763,272,177,792
  5. Step 5: Solve for x
    x = 1,033,317,763,272,177,792/467,569,689
  6. Step 6: Final answer
    x = 2,209,975,940.66

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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.