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Finding the Third Proportional to 648,440 and 970,068

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Solution

The third proportional to 648,440 and 970,068 is: 1,451,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,440 : 970,068 = 970,068 : x
  2. Step 2: Convert to fraction form
    648,440/970,068 = 970,068/x
  3. Step 3: Cross multiply
    648,440x = 970,068 × 970,068
  4. Step 4: Simplify right side
    648,440x = 941,031,924,624
  5. Step 5: Solve for x
    x = 941,031,924,624/648,440
  6. Step 6: Final answer
    x = 1,451,224.36

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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.