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Finding the Third Proportional to 466,428,717 and 1,020,722,778

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Solution

The third proportional to 466,428,717 and 1,020,722,778 is: 2,233,728,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,428,717 : 1,020,722,778 = 1,020,722,778 : x
  2. Step 2: Convert to fraction form
    466,428,717/1,020,722,778 = 1,020,722,778/x
  3. Step 3: Cross multiply
    466,428,717x = 1,020,722,778 × 1,020,722,778
  4. Step 4: Simplify right side
    466,428,717x = 1,041,874,989,528,037,248
  5. Step 5: Solve for x
    x = 1,041,874,989,528,037,248/466,428,717
  6. Step 6: Final answer
    x = 2,233,728,223.74

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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.