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Finding the Third Proportional to 811,496 and 1,762,960

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Solution

The third proportional to 811,496 and 1,762,960 is: 3,829,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,496 : 1,762,960 = 1,762,960 : x
  2. Step 2: Convert to fraction form
    811,496/1,762,960 = 1,762,960/x
  3. Step 3: Cross multiply
    811,496x = 1,762,960 × 1,762,960
  4. Step 4: Simplify right side
    811,496x = 3,108,027,961,600
  5. Step 5: Solve for x
    x = 3,108,027,961,600/811,496
  6. Step 6: Final answer
    x = 3,829,997.88

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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.