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Finding the Third Proportional to 466,428,697 and 1,020,722,737

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Solution

The third proportional to 466,428,697 and 1,020,722,737 is: 2,233,728,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,428,697 : 1,020,722,737 = 1,020,722,737 : x
  2. Step 2: Convert to fraction form
    466,428,697/1,020,722,737 = 1,020,722,737/x
  3. Step 3: Cross multiply
    466,428,697x = 1,020,722,737 × 1,020,722,737
  4. Step 4: Simplify right side
    466,428,697x = 1,041,874,905,828,771,200
  5. Step 5: Solve for x
    x = 1,041,874,905,828,771,200/466,428,697
  6. Step 6: Final answer
    x = 2,233,728,140.08

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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.