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Finding the Third Proportional to 461,859,137 and 1,005,028,747

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Solution

The third proportional to 461,859,137 and 1,005,028,747 is: 2,186,993,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,859,137 : 1,005,028,747 = 1,005,028,747 : x
  2. Step 2: Convert to fraction form
    461,859,137/1,005,028,747 = 1,005,028,747/x
  3. Step 3: Cross multiply
    461,859,137x = 1,005,028,747 × 1,005,028,747
  4. Step 4: Simplify right side
    461,859,137x = 1,010,082,782,296,390,016
  5. Step 5: Solve for x
    x = 1,010,082,782,296,390,016/461,859,137
  6. Step 6: Final answer
    x = 2,186,993,179.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.