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Finding the Third Proportional to 1,115,682 and 2,438,724

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Solution

The third proportional to 1,115,682 and 2,438,724 is: 5,330,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115,682 : 2,438,724 = 2,438,724 : x
  2. Step 2: Convert to fraction form
    1,115,682/2,438,724 = 2,438,724/x
  3. Step 3: Cross multiply
    1,115,682x = 2,438,724 × 2,438,724
  4. Step 4: Simplify right side
    1,115,682x = 5,947,374,748,176
  5. Step 5: Solve for x
    x = 5,947,374,748,176/1,115,682
  6. Step 6: Final answer
    x = 5,330,707.81

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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.