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Finding the Third Proportional to 970,769 and 1,519,531

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Solution

The third proportional to 970,769 and 1,519,531 is: 2,378,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,769 : 1,519,531 = 1,519,531 : x
  2. Step 2: Convert to fraction form
    970,769/1,519,531 = 1,519,531/x
  3. Step 3: Cross multiply
    970,769x = 1,519,531 × 1,519,531
  4. Step 4: Simplify right side
    970,769x = 2,308,974,459,961
  5. Step 5: Solve for x
    x = 2,308,974,459,961/970,769
  6. Step 6: Final answer
    x = 2,378,500.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.