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Finding the Third Proportional to 648,442 and 970,071

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Solution

The third proportional to 648,442 and 970,071 is: 1,451,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,442 : 970,071 = 970,071 : x
  2. Step 2: Convert to fraction form
    648,442/970,071 = 970,071/x
  3. Step 3: Cross multiply
    648,442x = 970,071 × 970,071
  4. Step 4: Simplify right side
    648,442x = 941,037,745,041
  5. Step 5: Solve for x
    x = 941,037,745,041/648,442
  6. Step 6: Final answer
    x = 1,451,228.86

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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.