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Finding the Third Proportional to 2,405,092.50 and 5,009,202

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Solution

The third proportional to 2,405,092.50 and 5,009,202 is: 10,432,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405,092.50 : 5,009,202 = 5,009,202 : x
  2. Step 2: Convert to fraction form
    2,405,092.50/5,009,202 = 5,009,202/x
  3. Step 3: Cross multiply
    2,405,092.50x = 5,009,202 × 5,009,202
  4. Step 4: Simplify right side
    2,405,092.50x = 25,092,104,676,804
  5. Step 5: Solve for x
    x = 25,092,104,676,804/2,405,092.50
  6. Step 6: Final answer
    x = 10,432,906.29

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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.