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Finding the Third Proportional to 768,407 and 1,234,624

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Solution

The third proportional to 768,407 and 1,234,624 is: 1,983,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,407 : 1,234,624 = 1,234,624 : x
  2. Step 2: Convert to fraction form
    768,407/1,234,624 = 1,234,624/x
  3. Step 3: Cross multiply
    768,407x = 1,234,624 × 1,234,624
  4. Step 4: Simplify right side
    768,407x = 1,524,296,421,376
  5. Step 5: Solve for x
    x = 1,524,296,421,376/768,407
  6. Step 6: Final answer
    x = 1,983,709.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.