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Finding the Third Proportional to 467,569,701 and 1,016,522,406

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Solution

The third proportional to 467,569,701 and 1,016,522,406 is: 2,209,975,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,569,701 : 1,016,522,406 = 1,016,522,406 : x
  2. Step 2: Convert to fraction form
    467,569,701/1,016,522,406 = 1,016,522,406/x
  3. Step 3: Cross multiply
    467,569,701x = 1,016,522,406 × 1,016,522,406
  4. Step 4: Simplify right side
    467,569,701x = 1,033,317,801,900,028,800
  5. Step 5: Solve for x
    x = 1,033,317,801,900,028,800/467,569,701
  6. Step 6: Final answer
    x = 2,209,975,966.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.