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Finding the Third Proportional to 752,102 and 1,646,314

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Solution

The third proportional to 752,102 and 1,646,314 is: 3,603,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,102 : 1,646,314 = 1,646,314 : x
  2. Step 2: Convert to fraction form
    752,102/1,646,314 = 1,646,314/x
  3. Step 3: Cross multiply
    752,102x = 1,646,314 × 1,646,314
  4. Step 4: Simplify right side
    752,102x = 2,710,349,786,596
  5. Step 5: Solve for x
    x = 2,710,349,786,596/752,102
  6. Step 6: Final answer
    x = 3,603,699.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.