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Finding the Third Proportional to 971,136 and 2,119,392

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Solution

The third proportional to 971,136 and 2,119,392 is: 4,625,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,136 : 2,119,392 = 2,119,392 : x
  2. Step 2: Convert to fraction form
    971,136/2,119,392 = 2,119,392/x
  3. Step 3: Cross multiply
    971,136x = 2,119,392 × 2,119,392
  4. Step 4: Simplify right side
    971,136x = 4,491,822,449,664
  5. Step 5: Solve for x
    x = 4,491,822,449,664/971,136
  6. Step 6: Final answer
    x = 4,625,327.91

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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.