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Finding the Third Proportional to 859,624 and 1,868,521

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Solution

The third proportional to 859,624 and 1,868,521 is: 4,061,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,624 : 1,868,521 = 1,868,521 : x
  2. Step 2: Convert to fraction form
    859,624/1,868,521 = 1,868,521/x
  3. Step 3: Cross multiply
    859,624x = 1,868,521 × 1,868,521
  4. Step 4: Simplify right side
    859,624x = 3,491,370,727,441
  5. Step 5: Solve for x
    x = 3,491,370,727,441/859,624
  6. Step 6: Final answer
    x = 4,061,509.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.