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Finding the Third Proportional to 1,189,895.06 and 1,812,742.03

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Solution

The third proportional to 1,189,895.06 and 1,812,742.03 is: 2,761,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,895.06 : 1,812,742.03 = 1,812,742.03 : x
  2. Step 2: Convert to fraction form
    1,189,895.06/1,812,742.03 = 1,812,742.03/x
  3. Step 3: Cross multiply
    1,189,895.06x = 1,812,742.03 × 1,812,742.03
  4. Step 4: Simplify right side
    1,189,895.06x = 3,286,033,671,860.38
  5. Step 5: Solve for x
    x = 3,286,033,671,860.38/1,189,895.06
  6. Step 6: Final answer
    x = 2,761,616.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.