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Finding the Third Proportional to 777,830 and 1,166,759

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Solution

The third proportional to 777,830 and 1,166,759 is: 1,750,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,830 : 1,166,759 = 1,166,759 : x
  2. Step 2: Convert to fraction form
    777,830/1,166,759 = 1,166,759/x
  3. Step 3: Cross multiply
    777,830x = 1,166,759 × 1,166,759
  4. Step 4: Simplify right side
    777,830x = 1,361,326,564,081
  5. Step 5: Solve for x
    x = 1,361,326,564,081/777,830
  6. Step 6: Final answer
    x = 1,750,159.50

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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.