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Finding the Third Proportional to 788,648 and 1,181,637

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Solution

The third proportional to 788,648 and 1,181,637 is: 1,770,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,648 : 1,181,637 = 1,181,637 : x
  2. Step 2: Convert to fraction form
    788,648/1,181,637 = 1,181,637/x
  3. Step 3: Cross multiply
    788,648x = 1,181,637 × 1,181,637
  4. Step 4: Simplify right side
    788,648x = 1,396,265,999,769
  5. Step 5: Solve for x
    x = 1,396,265,999,769/788,648
  6. Step 6: Final answer
    x = 1,770,455.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.