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Finding the Third Proportional to 512,875.50 and 1,187,214

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Solution

The third proportional to 512,875.50 and 1,187,214 is: 2,748,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,875.50 : 1,187,214 = 1,187,214 : x
  2. Step 2: Convert to fraction form
    512,875.50/1,187,214 = 1,187,214/x
  3. Step 3: Cross multiply
    512,875.50x = 1,187,214 × 1,187,214
  4. Step 4: Simplify right side
    512,875.50x = 1,409,477,081,796
  5. Step 5: Solve for x
    x = 1,409,477,081,796/512,875.50
  6. Step 6: Final answer
    x = 2,748,185.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.