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Finding the Third Proportional to 949,416.19 and 2,034,456.75

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Solution

The third proportional to 949,416.19 and 2,034,456.75 is: 4,359,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,416.19 : 2,034,456.75 = 2,034,456.75 : x
  2. Step 2: Convert to fraction form
    949,416.19/2,034,456.75 = 2,034,456.75/x
  3. Step 3: Cross multiply
    949,416.19x = 2,034,456.75 × 2,034,456.75
  4. Step 4: Simplify right side
    949,416.19x = 4,139,014,267,620.56
  5. Step 5: Solve for x
    x = 4,139,014,267,620.56/949,416.19
  6. Step 6: Final answer
    x = 4,359,536.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.