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Finding the Third Proportional to 546,564 and 1,200,738

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Solution

The third proportional to 546,564 and 1,200,738 is: 2,637,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,564 : 1,200,738 = 1,200,738 : x
  2. Step 2: Convert to fraction form
    546,564/1,200,738 = 1,200,738/x
  3. Step 3: Cross multiply
    546,564x = 1,200,738 × 1,200,738
  4. Step 4: Simplify right side
    546,564x = 1,441,771,744,644
  5. Step 5: Solve for x
    x = 1,441,771,744,644/546,564
  6. Step 6: Final answer
    x = 2,637,882.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.