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Finding the Third Proportional to 599,106 and 1,304,013

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Solution

The third proportional to 599,106 and 1,304,013 is: 2,838,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,106 : 1,304,013 = 1,304,013 : x
  2. Step 2: Convert to fraction form
    599,106/1,304,013 = 1,304,013/x
  3. Step 3: Cross multiply
    599,106x = 1,304,013 × 1,304,013
  4. Step 4: Simplify right side
    599,106x = 1,700,449,904,169
  5. Step 5: Solve for x
    x = 1,700,449,904,169/599,106
  6. Step 6: Final answer
    x = 2,838,312.26

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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.