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Finding the Third Proportional to 653,708.81 and 1,415,993.06

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Solution

The third proportional to 653,708.81 and 1,415,993.06 is: 3,067,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,708.81 : 1,415,993.06 = 1,415,993.06 : x
  2. Step 2: Convert to fraction form
    653,708.81/1,415,993.06 = 1,415,993.06/x
  3. Step 3: Cross multiply
    653,708.81x = 1,415,993.06 × 1,415,993.06
  4. Step 4: Simplify right side
    653,708.81x = 2,005,036,353,048.13
  5. Step 5: Solve for x
    x = 2,005,036,353,048.13/653,708.81
  6. Step 6: Final answer
    x = 3,067,170.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.