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Finding the Third Proportional to 1,181,232 and 1,832,533.88

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Solution

The third proportional to 1,181,232 and 1,832,533.88 is: 2,842,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,232 : 1,832,533.88 = 1,832,533.88 : x
  2. Step 2: Convert to fraction form
    1,181,232/1,832,533.88 = 1,832,533.88/x
  3. Step 3: Cross multiply
    1,181,232x = 1,832,533.88 × 1,832,533.88
  4. Step 4: Simplify right side
    1,181,232x = 3,358,180,403,022.52
  5. Step 5: Solve for x
    x = 3,358,180,403,022.52/1,181,232
  6. Step 6: Final answer
    x = 2,842,947.37

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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.