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Finding the Third Proportional to 676,960 and 1,441,642

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Solution

The third proportional to 676,960 and 1,441,642 is: 3,070,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,960 : 1,441,642 = 1,441,642 : x
  2. Step 2: Convert to fraction form
    676,960/1,441,642 = 1,441,642/x
  3. Step 3: Cross multiply
    676,960x = 1,441,642 × 1,441,642
  4. Step 4: Simplify right side
    676,960x = 2,078,331,656,164
  5. Step 5: Solve for x
    x = 2,078,331,656,164/676,960
  6. Step 6: Final answer
    x = 3,070,095.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.