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Finding the Third Proportional to 1,299,827.25 and 2,805,167.95

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Solution

The third proportional to 1,299,827.25 and 2,805,167.95 is: 6,053,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,827.25 : 2,805,167.95 = 2,805,167.95 : x
  2. Step 2: Convert to fraction form
    1,299,827.25/2,805,167.95 = 2,805,167.95/x
  3. Step 3: Cross multiply
    1,299,827.25x = 2,805,167.95 × 2,805,167.95
  4. Step 4: Simplify right side
    1,299,827.25x = 7,868,967,245,239.50
  5. Step 5: Solve for x
    x = 7,868,967,245,239.50/1,299,827.25
  6. Step 6: Final answer
    x = 6,053,856.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.