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Finding the Third Proportional to 534,796 and 1,165,550

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Solution

The third proportional to 534,796 and 1,165,550 is: 2,540,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,796 : 1,165,550 = 1,165,550 : x
  2. Step 2: Convert to fraction form
    534,796/1,165,550 = 1,165,550/x
  3. Step 3: Cross multiply
    534,796x = 1,165,550 × 1,165,550
  4. Step 4: Simplify right side
    534,796x = 1,358,506,802,500
  5. Step 5: Solve for x
    x = 1,358,506,802,500/534,796
  6. Step 6: Final answer
    x = 2,540,233.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.