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Finding the Third Proportional to 835,138 and 1,291,087

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Solution

The third proportional to 835,138 and 1,291,087 is: 1,995,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,138 : 1,291,087 = 1,291,087 : x
  2. Step 2: Convert to fraction form
    835,138/1,291,087 = 1,291,087/x
  3. Step 3: Cross multiply
    835,138x = 1,291,087 × 1,291,087
  4. Step 4: Simplify right side
    835,138x = 1,666,905,641,569
  5. Step 5: Solve for x
    x = 1,666,905,641,569/835,138
  6. Step 6: Final answer
    x = 1,995,964.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.