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Finding the Third Proportional to 852,867 and 1,838,587.50

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Solution

The third proportional to 852,867 and 1,838,587.50 is: 3,963,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,867 : 1,838,587.50 = 1,838,587.50 : x
  2. Step 2: Convert to fraction form
    852,867/1,838,587.50 = 1,838,587.50/x
  3. Step 3: Cross multiply
    852,867x = 1,838,587.50 × 1,838,587.50
  4. Step 4: Simplify right side
    852,867x = 3,380,403,995,156.25
  5. Step 5: Solve for x
    x = 3,380,403,995,156.25/852,867
  6. Step 6: Final answer
    x = 3,963,576.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.