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Finding the Third Proportional to 861,876 and 1,748,376

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Solution

The third proportional to 861,876 and 1,748,376 is: 3,546,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,876 : 1,748,376 = 1,748,376 : x
  2. Step 2: Convert to fraction form
    861,876/1,748,376 = 1,748,376/x
  3. Step 3: Cross multiply
    861,876x = 1,748,376 × 1,748,376
  4. Step 4: Simplify right side
    861,876x = 3,056,818,637,376
  5. Step 5: Solve for x
    x = 3,056,818,637,376/861,876
  6. Step 6: Final answer
    x = 3,546,703.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.