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Finding the Third Proportional to 543,026 and 1,170,292

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Solution

The third proportional to 543,026 and 1,170,292 is: 2,522,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,026 : 1,170,292 = 1,170,292 : x
  2. Step 2: Convert to fraction form
    543,026/1,170,292 = 1,170,292/x
  3. Step 3: Cross multiply
    543,026x = 1,170,292 × 1,170,292
  4. Step 4: Simplify right side
    543,026x = 1,369,583,365,264
  5. Step 5: Solve for x
    x = 1,369,583,365,264/543,026
  6. Step 6: Final answer
    x = 2,522,132.21

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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.