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Finding the Third Proportional to 454,318,368 and 741,782,448

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Solution

The third proportional to 454,318,368 and 741,782,448 is: 1,211,135,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,318,368 : 741,782,448 = 741,782,448 : x
  2. Step 2: Convert to fraction form
    454,318,368/741,782,448 = 741,782,448/x
  3. Step 3: Cross multiply
    454,318,368x = 741,782,448 × 741,782,448
  4. Step 4: Simplify right side
    454,318,368x = 550,241,200,160,872,704
  5. Step 5: Solve for x
    x = 550,241,200,160,872,704/454,318,368
  6. Step 6: Final answer
    x = 1,211,135,712.13

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.