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Finding the Third Proportional to 2,782,155 and 6,054,231

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Solution

The third proportional to 2,782,155 and 6,054,231 is: 13,174,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,155 : 6,054,231 = 6,054,231 : x
  2. Step 2: Convert to fraction form
    2,782,155/6,054,231 = 6,054,231/x
  3. Step 3: Cross multiply
    2,782,155x = 6,054,231 × 6,054,231
  4. Step 4: Simplify right side
    2,782,155x = 36,653,713,001,361
  5. Step 5: Solve for x
    x = 36,653,713,001,361/2,782,155
  6. Step 6: Final answer
    x = 13,174,576.18

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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.