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Finding the Third Proportional to 1,315,824.75 and 1,647,112.50

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Solution

The third proportional to 1,315,824.75 and 1,647,112.50 is: 2,061,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,824.75 : 1,647,112.50 = 1,647,112.50 : x
  2. Step 2: Convert to fraction form
    1,315,824.75/1,647,112.50 = 1,647,112.50/x
  3. Step 3: Cross multiply
    1,315,824.75x = 1,647,112.50 × 1,647,112.50
  4. Step 4: Simplify right side
    1,315,824.75x = 2,712,979,587,656.25
  5. Step 5: Solve for x
    x = 2,712,979,587,656.25/1,315,824.75
  6. Step 6: Final answer
    x = 2,061,809.21

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.