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Finding the Third Proportional to 2,005,269 and 4,330,136

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Solution

The third proportional to 2,005,269 and 4,330,136 is: 9,350,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,269 : 4,330,136 = 4,330,136 : x
  2. Step 2: Convert to fraction form
    2,005,269/4,330,136 = 4,330,136/x
  3. Step 3: Cross multiply
    2,005,269x = 4,330,136 × 4,330,136
  4. Step 4: Simplify right side
    2,005,269x = 18,750,077,778,496
  5. Step 5: Solve for x
    x = 18,750,077,778,496/2,005,269
  6. Step 6: Final answer
    x = 9,350,405.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.