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Finding the Third Proportional to 778,535 and 1,677,112

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Solution

The third proportional to 778,535 and 1,677,112 is: 3,612,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,535 : 1,677,112 = 1,677,112 : x
  2. Step 2: Convert to fraction form
    778,535/1,677,112 = 1,677,112/x
  3. Step 3: Cross multiply
    778,535x = 1,677,112 × 1,677,112
  4. Step 4: Simplify right side
    778,535x = 2,812,704,660,544
  5. Step 5: Solve for x
    x = 2,812,704,660,544/778,535
  6. Step 6: Final answer
    x = 3,612,817.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.