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Finding the Third Proportional to 1,188,362.25 and 1,756,335.38

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Solution

The third proportional to 1,188,362.25 and 1,756,335.38 is: 2,595,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,362.25 : 1,756,335.38 = 1,756,335.38 : x
  2. Step 2: Convert to fraction form
    1,188,362.25/1,756,335.38 = 1,756,335.38/x
  3. Step 3: Cross multiply
    1,188,362.25x = 1,756,335.38 × 1,756,335.38
  4. Step 4: Simplify right side
    1,188,362.25x = 3,084,713,949,476.39
  5. Step 5: Solve for x
    x = 3,084,713,949,476.39/1,188,362.25
  6. Step 6: Final answer
    x = 2,595,769.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.