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Finding the Third Proportional to 686,277 and 990,045

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Solution

The third proportional to 686,277 and 990,045 is: 1,428,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,277 : 990,045 = 990,045 : x
  2. Step 2: Convert to fraction form
    686,277/990,045 = 990,045/x
  3. Step 3: Cross multiply
    686,277x = 990,045 × 990,045
  4. Step 4: Simplify right side
    686,277x = 980,189,102,025
  5. Step 5: Solve for x
    x = 980,189,102,025/686,277
  6. Step 6: Final answer
    x = 1,428,270.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.