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Finding the Third Proportional to 1,571,986.50 and 3,201,778.50

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Solution

The third proportional to 1,571,986.50 and 3,201,778.50 is: 6,521,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,986.50 : 3,201,778.50 = 3,201,778.50 : x
  2. Step 2: Convert to fraction form
    1,571,986.50/3,201,778.50 = 3,201,778.50/x
  3. Step 3: Cross multiply
    1,571,986.50x = 3,201,778.50 × 3,201,778.50
  4. Step 4: Simplify right side
    1,571,986.50x = 10,251,385,563,062.25
  5. Step 5: Solve for x
    x = 10,251,385,563,062.25/1,571,986.50
  6. Step 6: Final answer
    x = 6,521,293.64

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.