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Finding the Third Proportional to 768,228 and 1,019,421

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Solution

The third proportional to 768,228 and 1,019,421 is: 1,352,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,228 : 1,019,421 = 1,019,421 : x
  2. Step 2: Convert to fraction form
    768,228/1,019,421 = 1,019,421/x
  3. Step 3: Cross multiply
    768,228x = 1,019,421 × 1,019,421
  4. Step 4: Simplify right side
    768,228x = 1,039,219,175,241
  5. Step 5: Solve for x
    x = 1,039,219,175,241/768,228
  6. Step 6: Final answer
    x = 1,352,748.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.