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Finding the Third Proportional to 581,742 and 1,256,872

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Solution

The third proportional to 581,742 and 1,256,872 is: 2,715,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,742 : 1,256,872 = 1,256,872 : x
  2. Step 2: Convert to fraction form
    581,742/1,256,872 = 1,256,872/x
  3. Step 3: Cross multiply
    581,742x = 1,256,872 × 1,256,872
  4. Step 4: Simplify right side
    581,742x = 1,579,727,224,384
  5. Step 5: Solve for x
    x = 1,579,727,224,384/581,742
  6. Step 6: Final answer
    x = 2,715,511.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.