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Finding the Third Proportional to 454,938,249 and 982,368,042

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Solution

The third proportional to 454,938,249 and 982,368,042 is: 2,121,270,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,938,249 : 982,368,042 = 982,368,042 : x
  2. Step 2: Convert to fraction form
    454,938,249/982,368,042 = 982,368,042/x
  3. Step 3: Cross multiply
    454,938,249x = 982,368,042 × 982,368,042
  4. Step 4: Simplify right side
    454,938,249x = 965,046,969,942,913,792
  5. Step 5: Solve for x
    x = 965,046,969,942,913,792/454,938,249
  6. Step 6: Final answer
    x = 2,121,270,242.86

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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.