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Finding the Third Proportional to 659,529 and 1,437,156

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Solution

The third proportional to 659,529 and 1,437,156 is: 3,131,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,529 : 1,437,156 = 1,437,156 : x
  2. Step 2: Convert to fraction form
    659,529/1,437,156 = 1,437,156/x
  3. Step 3: Cross multiply
    659,529x = 1,437,156 × 1,437,156
  4. Step 4: Simplify right side
    659,529x = 2,065,417,368,336
  5. Step 5: Solve for x
    x = 2,065,417,368,336/659,529
  6. Step 6: Final answer
    x = 3,131,655.12

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