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Finding the Third Proportional to 1,150,657.50 and 1,725,987

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Solution

The third proportional to 1,150,657.50 and 1,725,987 is: 2,588,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,657.50 : 1,725,987 = 1,725,987 : x
  2. Step 2: Convert to fraction form
    1,150,657.50/1,725,987 = 1,725,987/x
  3. Step 3: Cross multiply
    1,150,657.50x = 1,725,987 × 1,725,987
  4. Step 4: Simplify right side
    1,150,657.50x = 2,979,031,124,169
  5. Step 5: Solve for x
    x = 2,979,031,124,169/1,150,657.50
  6. Step 6: Final answer
    x = 2,588,981.63

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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.