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Finding the Third Proportional to 703,902 and 1,540,836

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Solution

The third proportional to 703,902 and 1,540,836 is: 3,372,878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,902 : 1,540,836 = 1,540,836 : x
  2. Step 2: Convert to fraction form
    703,902/1,540,836 = 1,540,836/x
  3. Step 3: Cross multiply
    703,902x = 1,540,836 × 1,540,836
  4. Step 4: Simplify right side
    703,902x = 2,374,175,578,896
  5. Step 5: Solve for x
    x = 2,374,175,578,896/703,902
  6. Step 6: Final answer
    x = 3,372,878.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.