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Finding the Third Proportional to 960,406.88 and 1,284,639.75

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Solution

The third proportional to 960,406.88 and 1,284,639.75 is: 1,718,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,406.88 : 1,284,639.75 = 1,284,639.75 : x
  2. Step 2: Convert to fraction form
    960,406.88/1,284,639.75 = 1,284,639.75/x
  3. Step 3: Cross multiply
    960,406.88x = 1,284,639.75 × 1,284,639.75
  4. Step 4: Simplify right side
    960,406.88x = 1,650,299,287,280.06
  5. Step 5: Solve for x
    x = 1,650,299,287,280.06/960,406.88
  6. Step 6: Final answer
    x = 1,718,333.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.