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Finding the Third Proportional to 4,203,566 and 6,522,209

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Solution

The third proportional to 4,203,566 and 6,522,209 is: 10,119,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203,566 : 6,522,209 = 6,522,209 : x
  2. Step 2: Convert to fraction form
    4,203,566/6,522,209 = 6,522,209/x
  3. Step 3: Cross multiply
    4,203,566x = 6,522,209 × 6,522,209
  4. Step 4: Simplify right side
    4,203,566x = 42,539,210,239,681
  5. Step 5: Solve for x
    x = 42,539,210,239,681/4,203,566
  6. Step 6: Final answer
    x = 10,119,791.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.