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Finding the Third Proportional to 709,202 and 1,536,538

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Solution

The third proportional to 709,202 and 1,536,538 is: 3,329,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,202 : 1,536,538 = 1,536,538 : x
  2. Step 2: Convert to fraction form
    709,202/1,536,538 = 1,536,538/x
  3. Step 3: Cross multiply
    709,202x = 1,536,538 × 1,536,538
  4. Step 4: Simplify right side
    709,202x = 2,360,949,025,444
  5. Step 5: Solve for x
    x = 2,360,949,025,444/709,202
  6. Step 6: Final answer
    x = 3,329,021.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.