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Finding the Third Proportional to 599,153 and 1,304,110

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Solution

The third proportional to 599,153 and 1,304,110 is: 2,838,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,153 : 1,304,110 = 1,304,110 : x
  2. Step 2: Convert to fraction form
    599,153/1,304,110 = 1,304,110/x
  3. Step 3: Cross multiply
    599,153x = 1,304,110 × 1,304,110
  4. Step 4: Simplify right side
    599,153x = 1,700,702,892,100
  5. Step 5: Solve for x
    x = 1,700,702,892,100/599,153
  6. Step 6: Final answer
    x = 2,838,511.85

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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.