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Finding the Third Proportional to 758,600 and 1,613,742

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Solution

The third proportional to 758,600 and 1,613,742 is: 3,432,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,600 : 1,613,742 = 1,613,742 : x
  2. Step 2: Convert to fraction form
    758,600/1,613,742 = 1,613,742/x
  3. Step 3: Cross multiply
    758,600x = 1,613,742 × 1,613,742
  4. Step 4: Simplify right side
    758,600x = 2,604,163,242,564
  5. Step 5: Solve for x
    x = 2,604,163,242,564/758,600
  6. Step 6: Final answer
    x = 3,432,854.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.