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Finding the Third Proportional to 3,715,837 and 5,742,849

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Solution

The third proportional to 3,715,837 and 5,742,849 is: 8,875,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715,837 : 5,742,849 = 5,742,849 : x
  2. Step 2: Convert to fraction form
    3,715,837/5,742,849 = 5,742,849/x
  3. Step 3: Cross multiply
    3,715,837x = 5,742,849 × 5,742,849
  4. Step 4: Simplify right side
    3,715,837x = 32,980,314,636,801
  5. Step 5: Solve for x
    x = 32,980,314,636,801/3,715,837
  6. Step 6: Final answer
    x = 8,875,608.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.