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Finding the Third Proportional to 686,281 and 990,051

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Solution

The third proportional to 686,281 and 990,051 is: 1,428,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,281 : 990,051 = 990,051 : x
  2. Step 2: Convert to fraction form
    686,281/990,051 = 990,051/x
  3. Step 3: Cross multiply
    686,281x = 990,051 × 990,051
  4. Step 4: Simplify right side
    686,281x = 980,200,982,601
  5. Step 5: Solve for x
    x = 980,200,982,601/686,281
  6. Step 6: Final answer
    x = 1,428,279.35

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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.