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Finding the Third Proportional to 466,428,714 and 1,020,722,772

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Solution

The third proportional to 466,428,714 and 1,020,722,772 is: 2,233,728,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,428,714 : 1,020,722,772 = 1,020,722,772 : x
  2. Step 2: Convert to fraction form
    466,428,714/1,020,722,772 = 1,020,722,772/x
  3. Step 3: Cross multiply
    466,428,714x = 1,020,722,772 × 1,020,722,772
  4. Step 4: Simplify right side
    466,428,714x = 1,041,874,977,279,363,968
  5. Step 5: Solve for x
    x = 1,041,874,977,279,363,968/466,428,714
  6. Step 6: Final answer
    x = 2,233,728,211.85

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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.