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Finding the Third Proportional to 1,376,633.25 and 2,952,560.25

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Solution

The third proportional to 1,376,633.25 and 2,952,560.25 is: 6,332,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,633.25 : 2,952,560.25 = 2,952,560.25 : x
  2. Step 2: Convert to fraction form
    1,376,633.25/2,952,560.25 = 2,952,560.25/x
  3. Step 3: Cross multiply
    1,376,633.25x = 2,952,560.25 × 2,952,560.25
  4. Step 4: Simplify right side
    1,376,633.25x = 8,717,612,029,880.06
  5. Step 5: Solve for x
    x = 8,717,612,029,880.06/1,376,633.25
  6. Step 6: Final answer
    x = 6,332,559.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.