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Finding the Third Proportional to 1,437,165 and 3,129,481

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Solution

The third proportional to 1,437,165 and 3,129,481 is: 6,814,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437,165 : 3,129,481 = 3,129,481 : x
  2. Step 2: Convert to fraction form
    1,437,165/3,129,481 = 3,129,481/x
  3. Step 3: Cross multiply
    1,437,165x = 3,129,481 × 3,129,481
  4. Step 4: Simplify right side
    1,437,165x = 9,793,651,329,361
  5. Step 5: Solve for x
    x = 9,793,651,329,361/1,437,165
  6. Step 6: Final answer
    x = 6,814,562.93

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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.