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Finding the Third Proportional to 546,200 and 1,118,638

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Solution

The third proportional to 546,200 and 1,118,638 is: 2,291,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,200 : 1,118,638 = 1,118,638 : x
  2. Step 2: Convert to fraction form
    546,200/1,118,638 = 1,118,638/x
  3. Step 3: Cross multiply
    546,200x = 1,118,638 × 1,118,638
  4. Step 4: Simplify right side
    546,200x = 1,251,350,975,044
  5. Step 5: Solve for x
    x = 1,251,350,975,044/546,200
  6. Step 6: Final answer
    x = 2,291,012.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.