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Finding the Third Proportional to 738,172 and 1,156,460

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Solution

The third proportional to 738,172 and 1,156,460 is: 1,811,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,172 : 1,156,460 = 1,156,460 : x
  2. Step 2: Convert to fraction form
    738,172/1,156,460 = 1,156,460/x
  3. Step 3: Cross multiply
    738,172x = 1,156,460 × 1,156,460
  4. Step 4: Simplify right side
    738,172x = 1,337,399,731,600
  5. Step 5: Solve for x
    x = 1,337,399,731,600/738,172
  6. Step 6: Final answer
    x = 1,811,772.50

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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.