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Finding the Third Proportional to 2,853,634 and 5,943,464

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Solution

The third proportional to 2,853,634 and 5,943,464 is: 12,378,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,634 : 5,943,464 = 5,943,464 : x
  2. Step 2: Convert to fraction form
    2,853,634/5,943,464 = 5,943,464/x
  3. Step 3: Cross multiply
    2,853,634x = 5,943,464 × 5,943,464
  4. Step 4: Simplify right side
    2,853,634x = 35,324,764,319,296
  5. Step 5: Solve for x
    x = 35,324,764,319,296/2,853,634
  6. Step 6: Final answer
    x = 12,378,870.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.