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Finding the Third Proportional to 1,520,742 and 2,353,913

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Solution

The third proportional to 1,520,742 and 2,353,913 is: 3,643,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,742 : 2,353,913 = 2,353,913 : x
  2. Step 2: Convert to fraction form
    1,520,742/2,353,913 = 2,353,913/x
  3. Step 3: Cross multiply
    1,520,742x = 2,353,913 × 2,353,913
  4. Step 4: Simplify right side
    1,520,742x = 5,540,906,411,569
  5. Step 5: Solve for x
    x = 5,540,906,411,569/1,520,742
  6. Step 6: Final answer
    x = 3,643,554.54

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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.