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Finding the Third Proportional to 478,766 and 1,036,780

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Solution

The third proportional to 478,766 and 1,036,780 is: 2,245,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,766 : 1,036,780 = 1,036,780 : x
  2. Step 2: Convert to fraction form
    478,766/1,036,780 = 1,036,780/x
  3. Step 3: Cross multiply
    478,766x = 1,036,780 × 1,036,780
  4. Step 4: Simplify right side
    478,766x = 1,074,912,768,400
  5. Step 5: Solve for x
    x = 1,074,912,768,400/478,766
  6. Step 6: Final answer
    x = 2,245,173.57

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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.