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Finding the Third Proportional to 3,143,986 and 4,711,119

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Solution

The third proportional to 3,143,986 and 4,711,119 is: 7,059,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,986 : 4,711,119 = 4,711,119 : x
  2. Step 2: Convert to fraction form
    3,143,986/4,711,119 = 4,711,119/x
  3. Step 3: Cross multiply
    3,143,986x = 4,711,119 × 4,711,119
  4. Step 4: Simplify right side
    3,143,986x = 22,194,642,232,161
  5. Step 5: Solve for x
    x = 22,194,642,232,161/3,143,986
  6. Step 6: Final answer
    x = 7,059,396.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.