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Finding the Third Proportional to 506,954 and 1,107,395

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Solution

The third proportional to 506,954 and 1,107,395 is: 2,419,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,954 : 1,107,395 = 1,107,395 : x
  2. Step 2: Convert to fraction form
    506,954/1,107,395 = 1,107,395/x
  3. Step 3: Cross multiply
    506,954x = 1,107,395 × 1,107,395
  4. Step 4: Simplify right side
    506,954x = 1,226,323,686,025
  5. Step 5: Solve for x
    x = 1,226,323,686,025/506,954
  6. Step 6: Final answer
    x = 2,419,003.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.