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Finding the Third Proportional to 1,150,657.13 and 1,725,985.69

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Solution

The third proportional to 1,150,657.13 and 1,725,985.69 is: 2,588,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,657.13 : 1,725,985.69 = 1,725,985.69 : x
  2. Step 2: Convert to fraction form
    1,150,657.13/1,725,985.69 = 1,725,985.69/x
  3. Step 3: Cross multiply
    1,150,657.13x = 1,725,985.69 × 1,725,985.69
  4. Step 4: Simplify right side
    1,150,657.13x = 2,979,026,593,454.85
  5. Step 5: Solve for x
    x = 2,979,026,593,454.85/1,150,657.13
  6. Step 6: Final answer
    x = 2,588,978.53

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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.