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Finding the Third Proportional to 774,290 and 1,619,548

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Solution

The third proportional to 774,290 and 1,619,548 is: 3,387,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,290 : 1,619,548 = 1,619,548 : x
  2. Step 2: Convert to fraction form
    774,290/1,619,548 = 1,619,548/x
  3. Step 3: Cross multiply
    774,290x = 1,619,548 × 1,619,548
  4. Step 4: Simplify right side
    774,290x = 2,622,935,724,304
  5. Step 5: Solve for x
    x = 2,622,935,724,304/774,290
  6. Step 6: Final answer
    x = 3,387,536.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.