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Finding the Third Proportional to 2,031,572.39 and 4,231,295.72

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Solution

The third proportional to 2,031,572.39 and 4,231,295.72 is: 8,812,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,572.39 : 4,231,295.72 = 4,231,295.72 : x
  2. Step 2: Convert to fraction form
    2,031,572.39/4,231,295.72 = 4,231,295.72/x
  3. Step 3: Cross multiply
    2,031,572.39x = 4,231,295.72 × 4,231,295.72
  4. Step 4: Simplify right side
    2,031,572.39x = 17,903,863,459,512.08
  5. Step 5: Solve for x
    x = 17,903,863,459,512.08/2,031,572.39
  6. Step 6: Final answer
    x = 8,812,810.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.