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Finding the Third Proportional to 543,140 and 1,193,272

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Solution

The third proportional to 543,140 and 1,193,272 is: 2,621,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,140 : 1,193,272 = 1,193,272 : x
  2. Step 2: Convert to fraction form
    543,140/1,193,272 = 1,193,272/x
  3. Step 3: Cross multiply
    543,140x = 1,193,272 × 1,193,272
  4. Step 4: Simplify right side
    543,140x = 1,423,898,065,984
  5. Step 5: Solve for x
    x = 1,423,898,065,984/543,140
  6. Step 6: Final answer
    x = 2,621,604.13

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Why These Related Problems?

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