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Finding the Third Proportional to 444,051 and 959,136

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Solution

The third proportional to 444,051 and 959,136 is: 2,071,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,051 : 959,136 = 959,136 : x
  2. Step 2: Convert to fraction form
    444,051/959,136 = 959,136/x
  3. Step 3: Cross multiply
    444,051x = 959,136 × 959,136
  4. Step 4: Simplify right side
    444,051x = 919,941,866,496
  5. Step 5: Solve for x
    x = 919,941,866,496/444,051
  6. Step 6: Final answer
    x = 2,071,703.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.