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Finding the Third Proportional to 1,580,015 and 2,384,009

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Solution

The third proportional to 1,580,015 and 2,384,009 is: 3,597,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,015 : 2,384,009 = 2,384,009 : x
  2. Step 2: Convert to fraction form
    1,580,015/2,384,009 = 2,384,009/x
  3. Step 3: Cross multiply
    1,580,015x = 2,384,009 × 2,384,009
  4. Step 4: Simplify right side
    1,580,015x = 5,683,498,912,081
  5. Step 5: Solve for x
    x = 5,683,498,912,081/1,580,015
  6. Step 6: Final answer
    x = 3,597,117.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.