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Finding the Third Proportional to 686,586.38 and 1,503,964.13

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Solution

The third proportional to 686,586.38 and 1,503,964.13 is: 3,294,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,586.38 : 1,503,964.13 = 1,503,964.13 : x
  2. Step 2: Convert to fraction form
    686,586.38/1,503,964.13 = 1,503,964.13/x
  3. Step 3: Cross multiply
    686,586.38x = 1,503,964.13 × 1,503,964.13
  4. Step 4: Simplify right side
    686,586.38x = 2,261,908,089,287.02
  5. Step 5: Solve for x
    x = 2,261,908,089,287.02/686,586.38
  6. Step 6: Final answer
    x = 3,294,426.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.