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Finding the Third Proportional to 2,874,289 and 4,508,905.50

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Solution

The third proportional to 2,874,289 and 4,508,905.50 is: 7,073,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874,289 : 4,508,905.50 = 4,508,905.50 : x
  2. Step 2: Convert to fraction form
    2,874,289/4,508,905.50 = 4,508,905.50/x
  3. Step 3: Cross multiply
    2,874,289x = 4,508,905.50 × 4,508,905.50
  4. Step 4: Simplify right side
    2,874,289x = 20,330,228,807,930.25
  5. Step 5: Solve for x
    x = 20,330,228,807,930.25/2,874,289
  6. Step 6: Final answer
    x = 7,073,133.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.