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Finding the Third Proportional to 1,304,100 and 2,692,008

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Solution

The third proportional to 1,304,100 and 2,692,008 is: 5,557,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,100 : 2,692,008 = 2,692,008 : x
  2. Step 2: Convert to fraction form
    1,304,100/2,692,008 = 2,692,008/x
  3. Step 3: Cross multiply
    1,304,100x = 2,692,008 × 2,692,008
  4. Step 4: Simplify right side
    1,304,100x = 7,246,907,072,064
  5. Step 5: Solve for x
    x = 7,246,907,072,064/1,304,100
  6. Step 6: Final answer
    x = 5,557,017.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.