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Finding the Third Proportional to 543,200 and 1,169,624

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Solution

The third proportional to 543,200 and 1,169,624 is: 2,518,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,200 : 1,169,624 = 1,169,624 : x
  2. Step 2: Convert to fraction form
    543,200/1,169,624 = 1,169,624/x
  3. Step 3: Cross multiply
    543,200x = 1,169,624 × 1,169,624
  4. Step 4: Simplify right side
    543,200x = 1,368,020,301,376
  5. Step 5: Solve for x
    x = 1,368,020,301,376/543,200
  6. Step 6: Final answer
    x = 2,518,446.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.