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Finding the Third Proportional to 738,286 and 1,156,642

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Solution

The third proportional to 738,286 and 1,156,642 is: 1,812,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,286 : 1,156,642 = 1,156,642 : x
  2. Step 2: Convert to fraction form
    738,286/1,156,642 = 1,156,642/x
  3. Step 3: Cross multiply
    738,286x = 1,156,642 × 1,156,642
  4. Step 4: Simplify right side
    738,286x = 1,337,820,716,164
  5. Step 5: Solve for x
    x = 1,337,820,716,164/738,286
  6. Step 6: Final answer
    x = 1,812,062.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.