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Finding the Third Proportional to 869,964 and 1,844,376

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Solution

The third proportional to 869,964 and 1,844,376 is: 3,910,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,964 : 1,844,376 = 1,844,376 : x
  2. Step 2: Convert to fraction form
    869,964/1,844,376 = 1,844,376/x
  3. Step 3: Cross multiply
    869,964x = 1,844,376 × 1,844,376
  4. Step 4: Simplify right side
    869,964x = 3,401,722,829,376
  5. Step 5: Solve for x
    x = 3,401,722,829,376/869,964
  6. Step 6: Final answer
    x = 3,910,188.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.