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Finding the Third Proportional to 1,691,533.13 and 2,618,056.69

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Solution

The third proportional to 1,691,533.13 and 2,618,056.69 is: 4,052,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,533.13 : 2,618,056.69 = 2,618,056.69 : x
  2. Step 2: Convert to fraction form
    1,691,533.13/2,618,056.69 = 2,618,056.69/x
  3. Step 3: Cross multiply
    1,691,533.13x = 2,618,056.69 × 2,618,056.69
  4. Step 4: Simplify right side
    1,691,533.13x = 6,854,220,818,963.47
  5. Step 5: Solve for x
    x = 6,854,220,818,963.47/1,691,533.13
  6. Step 6: Final answer
    x = 4,052,076.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.