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Finding the Third Proportional to 590,136 and 1,286,979.75

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Solution

The third proportional to 590,136 and 1,286,979.75 is: 2,806,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,136 : 1,286,979.75 = 1,286,979.75 : x
  2. Step 2: Convert to fraction form
    590,136/1,286,979.75 = 1,286,979.75/x
  3. Step 3: Cross multiply
    590,136x = 1,286,979.75 × 1,286,979.75
  4. Step 4: Simplify right side
    590,136x = 1,656,316,876,910.06
  5. Step 5: Solve for x
    x = 1,656,316,876,910.06/590,136
  6. Step 6: Final answer
    x = 2,806,669.78

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