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Finding the Third Proportional to 753,474 and 1,130,214

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Solution

The third proportional to 753,474 and 1,130,214 is: 1,695,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,474 : 1,130,214 = 1,130,214 : x
  2. Step 2: Convert to fraction form
    753,474/1,130,214 = 1,130,214/x
  3. Step 3: Cross multiply
    753,474x = 1,130,214 × 1,130,214
  4. Step 4: Simplify right side
    753,474x = 1,277,383,685,796
  5. Step 5: Solve for x
    x = 1,277,383,685,796/753,474
  6. Step 6: Final answer
    x = 1,695,325.50

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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.