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Finding the Third Proportional to 686,280 and 990,049

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Solution

The third proportional to 686,280 and 990,049 is: 1,428,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,280 : 990,049 = 990,049 : x
  2. Step 2: Convert to fraction form
    686,280/990,049 = 990,049/x
  3. Step 3: Cross multiply
    686,280x = 990,049 × 990,049
  4. Step 4: Simplify right side
    686,280x = 980,197,022,401
  5. Step 5: Solve for x
    x = 980,197,022,401/686,280
  6. Step 6: Final answer
    x = 1,428,275.66

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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.