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Finding the Third Proportional to 4,263,709 and 6,560,243

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Solution

The third proportional to 4,263,709 and 6,560,243 is: 10,093,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263,709 : 6,560,243 = 6,560,243 : x
  2. Step 2: Convert to fraction form
    4,263,709/6,560,243 = 6,560,243/x
  3. Step 3: Cross multiply
    4,263,709x = 6,560,243 × 6,560,243
  4. Step 4: Simplify right side
    4,263,709x = 43,036,788,219,049
  5. Step 5: Solve for x
    x = 43,036,788,219,049/4,263,709
  6. Step 6: Final answer
    x = 10,093,744.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.