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Finding the Third Proportional to 4,121,201 and 6,304,193

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Solution

The third proportional to 4,121,201 and 6,304,193 is: 9,643,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,201 : 6,304,193 = 6,304,193 : x
  2. Step 2: Convert to fraction form
    4,121,201/6,304,193 = 6,304,193/x
  3. Step 3: Cross multiply
    4,121,201x = 6,304,193 × 6,304,193
  4. Step 4: Simplify right side
    4,121,201x = 39,742,849,381,249
  5. Step 5: Solve for x
    x = 39,742,849,381,249/4,121,201
  6. Step 6: Final answer
    x = 9,643,511.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.