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Finding the Third Proportional to 771,214 and 1,671,136

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Solution

The third proportional to 771,214 and 1,671,136 is: 3,621,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,214 : 1,671,136 = 1,671,136 : x
  2. Step 2: Convert to fraction form
    771,214/1,671,136 = 1,671,136/x
  3. Step 3: Cross multiply
    771,214x = 1,671,136 × 1,671,136
  4. Step 4: Simplify right side
    771,214x = 2,792,695,530,496
  5. Step 5: Solve for x
    x = 2,792,695,530,496/771,214
  6. Step 6: Final answer
    x = 3,621,168.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.