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Finding the Third Proportional to 970,516.69 and 2,041,422.75

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Solution

The third proportional to 970,516.69 and 2,041,422.75 is: 4,294,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,516.69 : 2,041,422.75 = 2,041,422.75 : x
  2. Step 2: Convert to fraction form
    970,516.69/2,041,422.75 = 2,041,422.75/x
  3. Step 3: Cross multiply
    970,516.69x = 2,041,422.75 × 2,041,422.75
  4. Step 4: Simplify right side
    970,516.69x = 4,167,406,844,217.56
  5. Step 5: Solve for x
    x = 4,167,406,844,217.56/970,516.69
  6. Step 6: Final answer
    x = 4,294,008.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.