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Finding the Third Proportional to 727,776 and 1,579,872

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Solution

The third proportional to 727,776 and 1,579,872 is: 3,429,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,776 : 1,579,872 = 1,579,872 : x
  2. Step 2: Convert to fraction form
    727,776/1,579,872 = 1,579,872/x
  3. Step 3: Cross multiply
    727,776x = 1,579,872 × 1,579,872
  4. Step 4: Simplify right side
    727,776x = 2,495,995,536,384
  5. Step 5: Solve for x
    x = 2,495,995,536,384/727,776
  6. Step 6: Final answer
    x = 3,429,620.57

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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.