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Finding the Third Proportional to 970,666 and 1,469,576

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Solution

The third proportional to 970,666 and 1,469,576 is: 2,224,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,666 : 1,469,576 = 1,469,576 : x
  2. Step 2: Convert to fraction form
    970,666/1,469,576 = 1,469,576/x
  3. Step 3: Cross multiply
    970,666x = 1,469,576 × 1,469,576
  4. Step 4: Simplify right side
    970,666x = 2,159,653,619,776
  5. Step 5: Solve for x
    x = 2,159,653,619,776/970,666
  6. Step 6: Final answer
    x = 2,224,919.41

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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.