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Finding the Third Proportional to 2,011,094 and 2,813,121

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Solution

The third proportional to 2,011,094 and 2,813,121 is: 3,934,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,094 : 2,813,121 = 2,813,121 : x
  2. Step 2: Convert to fraction form
    2,011,094/2,813,121 = 2,813,121/x
  3. Step 3: Cross multiply
    2,011,094x = 2,813,121 × 2,813,121
  4. Step 4: Simplify right side
    2,011,094x = 7,913,649,760,641
  5. Step 5: Solve for x
    x = 7,913,649,760,641/2,011,094
  6. Step 6: Final answer
    x = 3,934,997.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.