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Finding the Third Proportional to 660,544.24 and 1,012,139.61

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Solution

The third proportional to 660,544.24 and 1,012,139.61 is: 1,550,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,544.24 : 1,012,139.61 = 1,012,139.61 : x
  2. Step 2: Convert to fraction form
    660,544.24/1,012,139.61 = 1,012,139.61/x
  3. Step 3: Cross multiply
    660,544.24x = 1,012,139.61 × 1,012,139.61
  4. Step 4: Simplify right side
    660,544.24x = 1,024,426,596,773.02
  5. Step 5: Solve for x
    x = 1,024,426,596,773.02/660,544.24
  6. Step 6: Final answer
    x = 1,550,882.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.