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Finding the Third Proportional to 1,178,774.44 and 2,578,206.38

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Solution

The third proportional to 1,178,774.44 and 2,578,206.38 is: 5,639,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,774.44 : 2,578,206.38 = 2,578,206.38 : x
  2. Step 2: Convert to fraction form
    1,178,774.44/2,578,206.38 = 2,578,206.38/x
  3. Step 3: Cross multiply
    1,178,774.44x = 2,578,206.38 × 2,578,206.38
  4. Step 4: Simplify right side
    1,178,774.44x = 6,647,148,112,090.64
  5. Step 5: Solve for x
    x = 6,647,148,112,090.64/1,178,774.44
  6. Step 6: Final answer
    x = 5,639,033.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.