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Finding the Third Proportional to 1,287,132 and 1,746,110

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Solution

The third proportional to 1,287,132 and 1,746,110 is: 2,368,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,132 : 1,746,110 = 1,746,110 : x
  2. Step 2: Convert to fraction form
    1,287,132/1,746,110 = 1,746,110/x
  3. Step 3: Cross multiply
    1,287,132x = 1,746,110 × 1,746,110
  4. Step 4: Simplify right side
    1,287,132x = 3,048,900,132,100
  5. Step 5: Solve for x
    x = 3,048,900,132,100/1,287,132
  6. Step 6: Final answer
    x = 2,368,754.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.