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Finding the Third Proportional to 747,382 and 1,074,415

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Solution

The third proportional to 747,382 and 1,074,415 is: 1,544,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,382 : 1,074,415 = 1,074,415 : x
  2. Step 2: Convert to fraction form
    747,382/1,074,415 = 1,074,415/x
  3. Step 3: Cross multiply
    747,382x = 1,074,415 × 1,074,415
  4. Step 4: Simplify right side
    747,382x = 1,154,367,592,225
  5. Step 5: Solve for x
    x = 1,154,367,592,225/747,382
  6. Step 6: Final answer
    x = 1,544,548.29

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.