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Finding the Third Proportional to 703,898 and 1,540,828

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Solution

The third proportional to 703,898 and 1,540,828 is: 3,372,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,898 : 1,540,828 = 1,540,828 : x
  2. Step 2: Convert to fraction form
    703,898/1,540,828 = 1,540,828/x
  3. Step 3: Cross multiply
    703,898x = 1,540,828 × 1,540,828
  4. Step 4: Simplify right side
    703,898x = 2,374,150,925,584
  5. Step 5: Solve for x
    x = 2,374,150,925,584/703,898
  6. Step 6: Final answer
    x = 3,372,862.16

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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.