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Finding the Third Proportional to 648,504 and 970,164

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Solution

The third proportional to 648,504 and 970,164 is: 1,451,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,504 : 970,164 = 970,164 : x
  2. Step 2: Convert to fraction form
    648,504/970,164 = 970,164/x
  3. Step 3: Cross multiply
    648,504x = 970,164 × 970,164
  4. Step 4: Simplify right side
    648,504x = 941,218,186,896
  5. Step 5: Solve for x
    x = 941,218,186,896/648,504
  6. Step 6: Final answer
    x = 1,451,368.36

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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.