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Finding the Third Proportional to 559,451 and 843,829

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Solution

The third proportional to 559,451 and 843,829 is: 1,272,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,451 : 843,829 = 843,829 : x
  2. Step 2: Convert to fraction form
    559,451/843,829 = 843,829/x
  3. Step 3: Cross multiply
    559,451x = 843,829 × 843,829
  4. Step 4: Simplify right side
    559,451x = 712,047,381,241
  5. Step 5: Solve for x
    x = 712,047,381,241/559,451
  6. Step 6: Final answer
    x = 1,272,760.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.