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Finding the Third Proportional to 495,540 and 1,061,040

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Solution

The third proportional to 495,540 and 1,061,040 is: 2,271,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,540 : 1,061,040 = 1,061,040 : x
  2. Step 2: Convert to fraction form
    495,540/1,061,040 = 1,061,040/x
  3. Step 3: Cross multiply
    495,540x = 1,061,040 × 1,061,040
  4. Step 4: Simplify right side
    495,540x = 1,125,805,881,600
  5. Step 5: Solve for x
    x = 1,125,805,881,600/495,540
  6. Step 6: Final answer
    x = 2,271,876.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.