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Finding the Third Proportional to 498,903 and 1,130,982

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Solution

The third proportional to 498,903 and 1,130,982 is: 2,563,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,903 : 1,130,982 = 1,130,982 : x
  2. Step 2: Convert to fraction form
    498,903/1,130,982 = 1,130,982/x
  3. Step 3: Cross multiply
    498,903x = 1,130,982 × 1,130,982
  4. Step 4: Simplify right side
    498,903x = 1,279,120,284,324
  5. Step 5: Solve for x
    x = 1,279,120,284,324/498,903
  6. Step 6: Final answer
    x = 2,563,865.69

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.