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Finding the Third Proportional to 454,875,764 and 982,380,340

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Solution

The third proportional to 454,875,764 and 982,380,340 is: 2,121,614,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,875,764 : 982,380,340 = 982,380,340 : x
  2. Step 2: Convert to fraction form
    454,875,764/982,380,340 = 982,380,340/x
  3. Step 3: Cross multiply
    454,875,764x = 982,380,340 × 982,380,340
  4. Step 4: Simplify right side
    454,875,764x = 965,071,132,418,515,584
  5. Step 5: Solve for x
    x = 965,071,132,418,515,584/454,875,764
  6. Step 6: Final answer
    x = 2,121,614,754.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.