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Finding the Third Proportional to 2,810,609 and 4,208,209

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Solution

The third proportional to 2,810,609 and 4,208,209 is: 6,300,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810,609 : 4,208,209 = 4,208,209 : x
  2. Step 2: Convert to fraction form
    2,810,609/4,208,209 = 4,208,209/x
  3. Step 3: Cross multiply
    2,810,609x = 4,208,209 × 4,208,209
  4. Step 4: Simplify right side
    2,810,609x = 17,709,022,987,681
  5. Step 5: Solve for x
    x = 17,709,022,987,681/2,810,609
  6. Step 6: Final answer
    x = 6,300,777.87

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