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Finding the Third Proportional to 761,850 and 1,586,756

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Solution

The third proportional to 761,850 and 1,586,756 is: 3,304,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,850 : 1,586,756 = 1,586,756 : x
  2. Step 2: Convert to fraction form
    761,850/1,586,756 = 1,586,756/x
  3. Step 3: Cross multiply
    761,850x = 1,586,756 × 1,586,756
  4. Step 4: Simplify right side
    761,850x = 2,517,794,603,536
  5. Step 5: Solve for x
    x = 2,517,794,603,536/761,850
  6. Step 6: Final answer
    x = 3,304,842.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.