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Finding the Third Proportional to 2,427,934.50 and 3,648,159

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Solution

The third proportional to 2,427,934.50 and 3,648,159 is: 5,481,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427,934.50 : 3,648,159 = 3,648,159 : x
  2. Step 2: Convert to fraction form
    2,427,934.50/3,648,159 = 3,648,159/x
  3. Step 3: Cross multiply
    2,427,934.50x = 3,648,159 × 3,648,159
  4. Step 4: Simplify right side
    2,427,934.50x = 13,309,064,089,281
  5. Step 5: Solve for x
    x = 13,309,064,089,281/2,427,934.50
  6. Step 6: Final answer
    x = 5,481,640.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.