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Finding the Third Proportional to 552,698 and 1,146,940

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Solution

The third proportional to 552,698 and 1,146,940 is: 2,380,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,698 : 1,146,940 = 1,146,940 : x
  2. Step 2: Convert to fraction form
    552,698/1,146,940 = 1,146,940/x
  3. Step 3: Cross multiply
    552,698x = 1,146,940 × 1,146,940
  4. Step 4: Simplify right side
    552,698x = 1,315,471,363,600
  5. Step 5: Solve for x
    x = 1,315,471,363,600/552,698
  6. Step 6: Final answer
    x = 2,380,090.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.