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Finding the Third Proportional to 1,142,834.06 and 1,524,295.13

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Solution

The third proportional to 1,142,834.06 and 1,524,295.13 is: 2,033,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,834.06 : 1,524,295.13 = 1,524,295.13 : x
  2. Step 2: Convert to fraction form
    1,142,834.06/1,524,295.13 = 1,524,295.13/x
  3. Step 3: Cross multiply
    1,142,834.06x = 1,524,295.13 × 1,524,295.13
  4. Step 4: Simplify right side
    1,142,834.06x = 2,323,475,628,098.77
  5. Step 5: Solve for x
    x = 2,323,475,628,098.77/1,142,834.06
  6. Step 6: Final answer
    x = 2,033,082.23

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.