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Finding the Third Proportional to 1,297,016 and 1,847,623

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Solution

The third proportional to 1,297,016 and 1,847,623 is: 2,631,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,016 : 1,847,623 = 1,847,623 : x
  2. Step 2: Convert to fraction form
    1,297,016/1,847,623 = 1,847,623/x
  3. Step 3: Cross multiply
    1,297,016x = 1,847,623 × 1,847,623
  4. Step 4: Simplify right side
    1,297,016x = 3,413,710,750,129
  5. Step 5: Solve for x
    x = 3,413,710,750,129/1,297,016
  6. Step 6: Final answer
    x = 2,631,972.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.