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Finding the Third Proportional to 970,718 and 1,469,651

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Solution

The third proportional to 970,718 and 1,469,651 is: 2,225,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,718 : 1,469,651 = 1,469,651 : x
  2. Step 2: Convert to fraction form
    970,718/1,469,651 = 1,469,651/x
  3. Step 3: Cross multiply
    970,718x = 1,469,651 × 1,469,651
  4. Step 4: Simplify right side
    970,718x = 2,159,874,061,801
  5. Step 5: Solve for x
    x = 2,159,874,061,801/970,718
  6. Step 6: Final answer
    x = 2,225,027.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.