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Finding the Third Proportional to 536,540 and 1,117,142

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Solution

The third proportional to 536,540 and 1,117,142 is: 2,326,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,540 : 1,117,142 = 1,117,142 : x
  2. Step 2: Convert to fraction form
    536,540/1,117,142 = 1,117,142/x
  3. Step 3: Cross multiply
    536,540x = 1,117,142 × 1,117,142
  4. Step 4: Simplify right side
    536,540x = 1,248,006,248,164
  5. Step 5: Solve for x
    x = 1,248,006,248,164/536,540
  6. Step 6: Final answer
    x = 2,326,026.48

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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.