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Finding the Third Proportional to 466,428,730 and 1,020,722,800

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Solution

The third proportional to 466,428,730 and 1,020,722,800 is: 2,233,728,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,428,730 : 1,020,722,800 = 1,020,722,800 : x
  2. Step 2: Convert to fraction form
    466,428,730/1,020,722,800 = 1,020,722,800/x
  3. Step 3: Cross multiply
    466,428,730x = 1,020,722,800 × 1,020,722,800
  4. Step 4: Simplify right side
    466,428,730x = 1,041,875,034,439,840,000
  5. Step 5: Solve for x
    x = 1,041,875,034,439,840,000/466,428,730
  6. Step 6: Final answer
    x = 2,233,728,257.78

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Why These Related Problems?

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