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Finding the Third Proportional to 581,739 and 1,256,867

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Solution

The third proportional to 581,739 and 1,256,867 is: 2,715,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,739 : 1,256,867 = 1,256,867 : x
  2. Step 2: Convert to fraction form
    581,739/1,256,867 = 1,256,867/x
  3. Step 3: Cross multiply
    581,739x = 1,256,867 × 1,256,867
  4. Step 4: Simplify right side
    581,739x = 1,579,714,655,689
  5. Step 5: Solve for x
    x = 1,579,714,655,689/581,739
  6. Step 6: Final answer
    x = 2,715,504.13

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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.