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Finding the Third Proportional to 1,250,741.25 and 2,730,196.13

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Solution

The third proportional to 1,250,741.25 and 2,730,196.13 is: 5,959,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250,741.25 : 2,730,196.13 = 2,730,196.13 : x
  2. Step 2: Convert to fraction form
    1,250,741.25/2,730,196.13 = 2,730,196.13/x
  3. Step 3: Cross multiply
    1,250,741.25x = 2,730,196.13 × 2,730,196.13
  4. Step 4: Simplify right side
    1,250,741.25x = 7,453,970,880,965.02
  5. Step 5: Solve for x
    x = 7,453,970,880,965.02/1,250,741.25
  6. Step 6: Final answer
    x = 5,959,642.64

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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.