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Finding the Third Proportional to 540,475 and 1,173,254

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Solution

The third proportional to 540,475 and 1,173,254 is: 2,546,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,475 : 1,173,254 = 1,173,254 : x
  2. Step 2: Convert to fraction form
    540,475/1,173,254 = 1,173,254/x
  3. Step 3: Cross multiply
    540,475x = 1,173,254 × 1,173,254
  4. Step 4: Simplify right side
    540,475x = 1,376,524,948,516
  5. Step 5: Solve for x
    x = 1,376,524,948,516/540,475
  6. Step 6: Final answer
    x = 2,546,879.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.