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Finding the Third Proportional to 1,540,416 and 3,351,624

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Solution

The third proportional to 1,540,416 and 3,351,624 is: 7,292,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,416 : 3,351,624 = 3,351,624 : x
  2. Step 2: Convert to fraction form
    1,540,416/3,351,624 = 3,351,624/x
  3. Step 3: Cross multiply
    1,540,416x = 3,351,624 × 3,351,624
  4. Step 4: Simplify right side
    1,540,416x = 11,233,383,437,376
  5. Step 5: Solve for x
    x = 11,233,383,437,376/1,540,416
  6. Step 6: Final answer
    x = 7,292,434.92

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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.