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Finding the Third Proportional to 1,629,684 and 3,834,914

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Solution

The third proportional to 1,629,684 and 3,834,914 is: 9,024,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629,684 : 3,834,914 = 3,834,914 : x
  2. Step 2: Convert to fraction form
    1,629,684/3,834,914 = 3,834,914/x
  3. Step 3: Cross multiply
    1,629,684x = 3,834,914 × 3,834,914
  4. Step 4: Simplify right side
    1,629,684x = 14,706,565,387,396
  5. Step 5: Solve for x
    x = 14,706,565,387,396/1,629,684
  6. Step 6: Final answer
    x = 9,024,182.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.