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Finding the Third Proportional to 460,561,059 and 1,087,228,413

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Solution

The third proportional to 460,561,059 and 1,087,228,413 is: 2,566,577,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,561,059 : 1,087,228,413 = 1,087,228,413 : x
  2. Step 2: Convert to fraction form
    460,561,059/1,087,228,413 = 1,087,228,413/x
  3. Step 3: Cross multiply
    460,561,059x = 1,087,228,413 × 1,087,228,413
  4. Step 4: Simplify right side
    460,561,059x = 1,182,065,622,034,498,560
  5. Step 5: Solve for x
    x = 1,182,065,622,034,498,560/460,561,059
  6. Step 6: Final answer
    x = 2,566,577,436.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.