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Finding the Third Proportional to 777,084 and 1,690,896

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Solution

The third proportional to 777,084 and 1,690,896 is: 3,679,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,084 : 1,690,896 = 1,690,896 : x
  2. Step 2: Convert to fraction form
    777,084/1,690,896 = 1,690,896/x
  3. Step 3: Cross multiply
    777,084x = 1,690,896 × 1,690,896
  4. Step 4: Simplify right side
    777,084x = 2,859,129,282,816
  5. Step 5: Solve for x
    x = 2,859,129,282,816/777,084
  6. Step 6: Final answer
    x = 3,679,305.30

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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.