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Finding the Third Proportional to 752,121 and 1,653,066

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Solution

The third proportional to 752,121 and 1,653,066 is: 3,633,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,121 : 1,653,066 = 1,653,066 : x
  2. Step 2: Convert to fraction form
    752,121/1,653,066 = 1,653,066/x
  3. Step 3: Cross multiply
    752,121x = 1,653,066 × 1,653,066
  4. Step 4: Simplify right side
    752,121x = 2,732,627,200,356
  5. Step 5: Solve for x
    x = 2,732,627,200,356/752,121
  6. Step 6: Final answer
    x = 3,633,228.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.