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Finding the Third Proportional to 970,707 and 1,469,634

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Solution

The third proportional to 970,707 and 1,469,634 is: 2,225,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,707 : 1,469,634 = 1,469,634 : x
  2. Step 2: Convert to fraction form
    970,707/1,469,634 = 1,469,634/x
  3. Step 3: Cross multiply
    970,707x = 1,469,634 × 1,469,634
  4. Step 4: Simplify right side
    970,707x = 2,159,824,093,956
  5. Step 5: Solve for x
    x = 2,159,824,093,956/970,707
  6. Step 6: Final answer
    x = 2,225,001.05

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