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Finding the Third Proportional to 543,952 and 1,184,680

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Solution

The third proportional to 543,952 and 1,184,680 is: 2,580,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,952 : 1,184,680 = 1,184,680 : x
  2. Step 2: Convert to fraction form
    543,952/1,184,680 = 1,184,680/x
  3. Step 3: Cross multiply
    543,952x = 1,184,680 × 1,184,680
  4. Step 4: Simplify right side
    543,952x = 1,403,466,702,400
  5. Step 5: Solve for x
    x = 1,403,466,702,400/543,952
  6. Step 6: Final answer
    x = 2,580,129.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.