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Finding the Third Proportional to 468,215,815 and 1,084,248,698

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Solution

The third proportional to 468,215,815 and 1,084,248,698 is: 2,510,797,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,215,815 : 1,084,248,698 = 1,084,248,698 : x
  2. Step 2: Convert to fraction form
    468,215,815/1,084,248,698 = 1,084,248,698/x
  3. Step 3: Cross multiply
    468,215,815x = 1,084,248,698 × 1,084,248,698
  4. Step 4: Simplify right side
    468,215,815x = 1,175,595,239,114,695,168
  5. Step 5: Solve for x
    x = 1,175,595,239,114,695,168/468,215,815
  6. Step 6: Final answer
    x = 2,510,797,801.90

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.