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Finding the Third Proportional to 543,651.75 and 1,176,902.16

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Solution

The third proportional to 543,651.75 and 1,176,902.16 is: 2,547,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,651.75 : 1,176,902.16 = 1,176,902.16 : x
  2. Step 2: Convert to fraction form
    543,651.75/1,176,902.16 = 1,176,902.16/x
  3. Step 3: Cross multiply
    543,651.75x = 1,176,902.16 × 1,176,902.16
  4. Step 4: Simplify right side
    543,651.75x = 1,385,098,685,385.90
  5. Step 5: Solve for x
    x = 1,385,098,685,385.90/543,651.75
  6. Step 6: Final answer
    x = 2,547,768.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.