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Finding the Third Proportional to 1,947,652.59 and 3,341,843.58

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Solution

The third proportional to 1,947,652.59 and 3,341,843.58 is: 5,734,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,652.59 : 3,341,843.58 = 3,341,843.58 : x
  2. Step 2: Convert to fraction form
    1,947,652.59/3,341,843.58 = 3,341,843.58/x
  3. Step 3: Cross multiply
    1,947,652.59x = 3,341,843.58 × 3,341,843.58
  4. Step 4: Simplify right side
    1,947,652.59x = 11,167,918,500,655.30
  5. Step 5: Solve for x
    x = 11,167,918,500,655.30/1,947,652.59
  6. Step 6: Final answer
    x = 5,734,040.32

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.