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Finding the Third Proportional to 1,117,830 and 1,580,193

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Solution

The third proportional to 1,117,830 and 1,580,193 is: 2,233,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,830 : 1,580,193 = 1,580,193 : x
  2. Step 2: Convert to fraction form
    1,117,830/1,580,193 = 1,580,193/x
  3. Step 3: Cross multiply
    1,117,830x = 1,580,193 × 1,580,193
  4. Step 4: Simplify right side
    1,117,830x = 2,497,009,917,249
  5. Step 5: Solve for x
    x = 2,497,009,917,249/1,117,830
  6. Step 6: Final answer
    x = 2,233,801.13

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.