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Finding the Third Proportional to 546,522 and 1,152,450

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Solution

The third proportional to 546,522 and 1,152,450 is: 2,430,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,522 : 1,152,450 = 1,152,450 : x
  2. Step 2: Convert to fraction form
    546,522/1,152,450 = 1,152,450/x
  3. Step 3: Cross multiply
    546,522x = 1,152,450 × 1,152,450
  4. Step 4: Simplify right side
    546,522x = 1,328,141,002,500
  5. Step 5: Solve for x
    x = 1,328,141,002,500/546,522
  6. Step 6: Final answer
    x = 2,430,169.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.