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Finding the Third Proportional to 841,000 and 1,868,624

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Solution

The third proportional to 841,000 and 1,868,624 is: 4,151,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,000 : 1,868,624 = 1,868,624 : x
  2. Step 2: Convert to fraction form
    841,000/1,868,624 = 1,868,624/x
  3. Step 3: Cross multiply
    841,000x = 1,868,624 × 1,868,624
  4. Step 4: Simplify right side
    841,000x = 3,491,755,653,376
  5. Step 5: Solve for x
    x = 3,491,755,653,376/841,000
  6. Step 6: Final answer
    x = 4,151,909.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.