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Finding the Third Proportional to 454,938,252 and 982,368,048

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Solution

The third proportional to 454,938,252 and 982,368,048 is: 2,121,270,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,938,252 : 982,368,048 = 982,368,048 : x
  2. Step 2: Convert to fraction form
    454,938,252/982,368,048 = 982,368,048/x
  3. Step 3: Cross multiply
    454,938,252x = 982,368,048 × 982,368,048
  4. Step 4: Simplify right side
    454,938,252x = 965,046,981,731,330,304
  5. Step 5: Solve for x
    x = 965,046,981,731,330,304/454,938,252
  6. Step 6: Final answer
    x = 2,121,270,254.78

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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.