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Finding the Third Proportional to 1,278,925.50 and 2,725,271.25

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Solution

The third proportional to 1,278,925.50 and 2,725,271.25 is: 5,807,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,925.50 : 2,725,271.25 = 2,725,271.25 : x
  2. Step 2: Convert to fraction form
    1,278,925.50/2,725,271.25 = 2,725,271.25/x
  3. Step 3: Cross multiply
    1,278,925.50x = 2,725,271.25 × 2,725,271.25
  4. Step 4: Simplify right side
    1,278,925.50x = 7,427,103,386,076.56
  5. Step 5: Solve for x
    x = 7,427,103,386,076.56/1,278,925.50
  6. Step 6: Final answer
    x = 5,807,299.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.