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Finding the Third Proportional to 961,672.50 and 1,484,146.13

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Solution

The third proportional to 961,672.50 and 1,484,146.13 is: 2,290,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,672.50 : 1,484,146.13 = 1,484,146.13 : x
  2. Step 2: Convert to fraction form
    961,672.50/1,484,146.13 = 1,484,146.13/x
  3. Step 3: Cross multiply
    961,672.50x = 1,484,146.13 × 1,484,146.13
  4. Step 4: Simplify right side
    961,672.50x = 2,202,689,720,352.52
  5. Step 5: Solve for x
    x = 2,202,689,720,352.52/961,672.50
  6. Step 6: Final answer
    x = 2,290,478.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.