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Finding the Third Proportional to 2,289,114 and 4,976,399.25

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Solution

The third proportional to 2,289,114 and 4,976,399.25 is: 10,818,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,114 : 4,976,399.25 = 4,976,399.25 : x
  2. Step 2: Convert to fraction form
    2,289,114/4,976,399.25 = 4,976,399.25/x
  3. Step 3: Cross multiply
    2,289,114x = 4,976,399.25 × 4,976,399.25
  4. Step 4: Simplify right side
    2,289,114x = 24,764,549,495,400.56
  5. Step 5: Solve for x
    x = 24,764,549,495,400.56/2,289,114
  6. Step 6: Final answer
    x = 10,818,399.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.