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Finding the Third Proportional to 460,923,996 and 1,013,784,690.38

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Solution

The third proportional to 460,923,996 and 1,013,784,690.38 is: 2,229,780,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,923,996 : 1,013,784,690.38 = 1,013,784,690.38 : x
  2. Step 2: Convert to fraction form
    460,923,996/1,013,784,690.38 = 1,013,784,690.38/x
  3. Step 3: Cross multiply
    460,923,996x = 1,013,784,690.38 × 1,013,784,690.38
  4. Step 4: Simplify right side
    460,923,996x = 1,027,759,398,438,734,592
  5. Step 5: Solve for x
    x = 1,027,759,398,438,734,592/460,923,996
  6. Step 6: Final answer
    x = 2,229,780,630.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.