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Finding the Third Proportional to 961,301 and 1,449,314

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Solution

The third proportional to 961,301 and 1,449,314 is: 2,185,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,301 : 1,449,314 = 1,449,314 : x
  2. Step 2: Convert to fraction form
    961,301/1,449,314 = 1,449,314/x
  3. Step 3: Cross multiply
    961,301x = 1,449,314 × 1,449,314
  4. Step 4: Simplify right side
    961,301x = 2,100,511,070,596
  5. Step 5: Solve for x
    x = 2,100,511,070,596/961,301
  6. Step 6: Final answer
    x = 2,185,071.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.