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Finding the Third Proportional to 625,175,766 and 919,032,065

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Solution

The third proportional to 625,175,766 and 919,032,065 is: 1,351,011,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,175,766 : 919,032,065 = 919,032,065 : x
  2. Step 2: Convert to fraction form
    625,175,766/919,032,065 = 919,032,065/x
  3. Step 3: Cross multiply
    625,175,766x = 919,032,065 × 919,032,065
  4. Step 4: Simplify right side
    625,175,766x = 844,619,936,498,164,224
  5. Step 5: Solve for x
    x = 844,619,936,498,164,224/625,175,766
  6. Step 6: Final answer
    x = 1,351,011,959.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.