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Finding the Third Proportional to 599,110 and 1,304,021

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Solution

The third proportional to 599,110 and 1,304,021 is: 2,838,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,110 : 1,304,021 = 1,304,021 : x
  2. Step 2: Convert to fraction form
    599,110/1,304,021 = 1,304,021/x
  3. Step 3: Cross multiply
    599,110x = 1,304,021 × 1,304,021
  4. Step 4: Simplify right side
    599,110x = 1,700,470,768,441
  5. Step 5: Solve for x
    x = 1,700,470,768,441/599,110
  6. Step 6: Final answer
    x = 2,838,328.13

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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.