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Finding the Third Proportional to 2,178,258.75 and 4,734,321.75

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Solution

The third proportional to 2,178,258.75 and 4,734,321.75 is: 10,289,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,258.75 : 4,734,321.75 = 4,734,321.75 : x
  2. Step 2: Convert to fraction form
    2,178,258.75/4,734,321.75 = 4,734,321.75/x
  3. Step 3: Cross multiply
    2,178,258.75x = 4,734,321.75 × 4,734,321.75
  4. Step 4: Simplify right side
    2,178,258.75x = 22,413,802,432,523.06
  5. Step 5: Solve for x
    x = 22,413,802,432,523.06/2,178,258.75
  6. Step 6: Final answer
    x = 10,289,779.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.