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Finding the Third Proportional to 3,830,859 and 5,713,062.75

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Solution

The third proportional to 3,830,859 and 5,713,062.75 is: 8,520,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,859 : 5,713,062.75 = 5,713,062.75 : x
  2. Step 2: Convert to fraction form
    3,830,859/5,713,062.75 = 5,713,062.75/x
  3. Step 3: Cross multiply
    3,830,859x = 5,713,062.75 × 5,713,062.75
  4. Step 4: Simplify right side
    3,830,859x = 32,639,085,985,437.56
  5. Step 5: Solve for x
    x = 32,639,085,985,437.56/3,830,859
  6. Step 6: Final answer
    x = 8,520,043.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.