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Finding the Third Proportional to 1,162,128 and 2,530,032

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Solution

The third proportional to 1,162,128 and 2,530,032 is: 5,508,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,128 : 2,530,032 = 2,530,032 : x
  2. Step 2: Convert to fraction form
    1,162,128/2,530,032 = 2,530,032/x
  3. Step 3: Cross multiply
    1,162,128x = 2,530,032 × 2,530,032
  4. Step 4: Simplify right side
    1,162,128x = 6,401,061,921,024
  5. Step 5: Solve for x
    x = 6,401,061,921,024/1,162,128
  6. Step 6: Final answer
    x = 5,508,052.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.