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Finding the Third Proportional to 1,136,040.19 and 1,660,120.95

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Solution

The third proportional to 1,136,040.19 and 1,660,120.95 is: 2,425,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,040.19 : 1,660,120.95 = 1,660,120.95 : x
  2. Step 2: Convert to fraction form
    1,136,040.19/1,660,120.95 = 1,660,120.95/x
  3. Step 3: Cross multiply
    1,136,040.19x = 1,660,120.95 × 1,660,120.95
  4. Step 4: Simplify right side
    1,136,040.19x = 2,756,001,553,065.27
  5. Step 5: Solve for x
    x = 2,756,001,553,065.27/1,136,040.19
  6. Step 6: Final answer
    x = 2,425,971.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.