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Finding the Third Proportional to 2,405,124 and 5,009,265

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Solution

The third proportional to 2,405,124 and 5,009,265 is: 10,433,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405,124 : 5,009,265 = 5,009,265 : x
  2. Step 2: Convert to fraction form
    2,405,124/5,009,265 = 5,009,265/x
  3. Step 3: Cross multiply
    2,405,124x = 5,009,265 × 5,009,265
  4. Step 4: Simplify right side
    2,405,124x = 25,092,735,840,225
  5. Step 5: Solve for x
    x = 25,092,735,840,225/2,405,124
  6. Step 6: Final answer
    x = 10,433,032.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.