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Finding the Third Proportional to 2,291,834 and 4,991,476

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Solution

The third proportional to 2,291,834 and 4,991,476 is: 10,871,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,834 : 4,991,476 = 4,991,476 : x
  2. Step 2: Convert to fraction form
    2,291,834/4,991,476 = 4,991,476/x
  3. Step 3: Cross multiply
    2,291,834x = 4,991,476 × 4,991,476
  4. Step 4: Simplify right side
    2,291,834x = 24,914,832,658,576
  5. Step 5: Solve for x
    x = 24,914,832,658,576/2,291,834
  6. Step 6: Final answer
    x = 10,871,133.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.