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Finding the Third Proportional to 656,136.50 and 1,364,623.75

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Solution

The third proportional to 656,136.50 and 1,364,623.75 is: 2,838,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,136.50 : 1,364,623.75 = 1,364,623.75 : x
  2. Step 2: Convert to fraction form
    656,136.50/1,364,623.75 = 1,364,623.75/x
  3. Step 3: Cross multiply
    656,136.50x = 1,364,623.75 × 1,364,623.75
  4. Step 4: Simplify right side
    656,136.50x = 1,862,197,979,064.06
  5. Step 5: Solve for x
    x = 1,862,197,979,064.06/656,136.50
  6. Step 6: Final answer
    x = 2,838,125.88

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.