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Finding the Third Proportional to 765,361 and 1,670,599

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Solution

The third proportional to 765,361 and 1,670,599 is: 3,646,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,361 : 1,670,599 = 1,670,599 : x
  2. Step 2: Convert to fraction form
    765,361/1,670,599 = 1,670,599/x
  3. Step 3: Cross multiply
    765,361x = 1,670,599 × 1,670,599
  4. Step 4: Simplify right side
    765,361x = 2,790,901,018,801
  5. Step 5: Solve for x
    x = 2,790,901,018,801/765,361
  6. Step 6: Final answer
    x = 3,646,515.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.