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Finding the Third Proportional to 542,783 and 1,157,706

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Solution

The third proportional to 542,783 and 1,157,706 is: 2,469,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,783 : 1,157,706 = 1,157,706 : x
  2. Step 2: Convert to fraction form
    542,783/1,157,706 = 1,157,706/x
  3. Step 3: Cross multiply
    542,783x = 1,157,706 × 1,157,706
  4. Step 4: Simplify right side
    542,783x = 1,340,283,182,436
  5. Step 5: Solve for x
    x = 1,340,283,182,436/542,783
  6. Step 6: Final answer
    x = 2,469,279.96

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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.