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Finding the Third Proportional to 747,769 and 1,630,879

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Solution

The third proportional to 747,769 and 1,630,879 is: 3,556,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,769 : 1,630,879 = 1,630,879 : x
  2. Step 2: Convert to fraction form
    747,769/1,630,879 = 1,630,879/x
  3. Step 3: Cross multiply
    747,769x = 1,630,879 × 1,630,879
  4. Step 4: Simplify right side
    747,769x = 2,659,766,312,641
  5. Step 5: Solve for x
    x = 2,659,766,312,641/747,769
  6. Step 6: Final answer
    x = 3,556,935.78

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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.