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Finding the Third Proportional to 970,778 and 1,519,546

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Solution

The third proportional to 970,778 and 1,519,546 is: 2,378,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,778 : 1,519,546 = 1,519,546 : x
  2. Step 2: Convert to fraction form
    970,778/1,519,546 = 1,519,546/x
  3. Step 3: Cross multiply
    970,778x = 1,519,546 × 1,519,546
  4. Step 4: Simplify right side
    970,778x = 2,309,020,046,116
  5. Step 5: Solve for x
    x = 2,309,020,046,116/970,778
  6. Step 6: Final answer
    x = 2,378,525.31

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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.