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Finding the Third Proportional to 1,083,783.38 and 1,687,705.88

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Solution

The third proportional to 1,083,783.38 and 1,687,705.88 is: 2,628,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,783.38 : 1,687,705.88 = 1,687,705.88 : x
  2. Step 2: Convert to fraction form
    1,083,783.38/1,687,705.88 = 1,687,705.88/x
  3. Step 3: Cross multiply
    1,083,783.38x = 1,687,705.88 × 1,687,705.88
  4. Step 4: Simplify right side
    1,083,783.38x = 2,848,351,120,509.52
  5. Step 5: Solve for x
    x = 2,848,351,120,509.52/1,083,783.38
  6. Step 6: Final answer
    x = 2,628,155.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.