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Finding the Third Proportional to 970,806.75 and 1,519,576.13

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Solution

The third proportional to 970,806.75 and 1,519,576.13 is: 2,378,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,806.75 : 1,519,576.13 = 1,519,576.13 : x
  2. Step 2: Convert to fraction form
    970,806.75/1,519,576.13 = 1,519,576.13/x
  3. Step 3: Cross multiply
    970,806.75x = 1,519,576.13 × 1,519,576.13
  4. Step 4: Simplify right side
    970,806.75x = 2,309,111,599,670.02
  5. Step 5: Solve for x
    x = 2,309,111,599,670.02/970,806.75
  6. Step 6: Final answer
    x = 2,378,549.18

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Why These Related Problems?

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