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Finding the Third Proportional to 2,657,893.50 and 3,986,006.25

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Solution

The third proportional to 2,657,893.50 and 3,986,006.25 is: 5,977,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,893.50 : 3,986,006.25 = 3,986,006.25 : x
  2. Step 2: Convert to fraction form
    2,657,893.50/3,986,006.25 = 3,986,006.25/x
  3. Step 3: Cross multiply
    2,657,893.50x = 3,986,006.25 × 3,986,006.25
  4. Step 4: Simplify right side
    2,657,893.50x = 15,888,245,825,039.06
  5. Step 5: Solve for x
    x = 15,888,245,825,039.06/2,657,893.50
  6. Step 6: Final answer
    x = 5,977,758.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.