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Finding the Third Proportional to 709,548 and 1,524,060

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Solution

The third proportional to 709,548 and 1,524,060 is: 3,273,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,548 : 1,524,060 = 1,524,060 : x
  2. Step 2: Convert to fraction form
    709,548/1,524,060 = 1,524,060/x
  3. Step 3: Cross multiply
    709,548x = 1,524,060 × 1,524,060
  4. Step 4: Simplify right side
    709,548x = 2,322,758,883,600
  5. Step 5: Solve for x
    x = 2,322,758,883,600/709,548
  6. Step 6: Final answer
    x = 3,273,575.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.