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Finding the Third Proportional to 835,142 and 1,291,093

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Solution

The third proportional to 835,142 and 1,291,093 is: 1,995,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,142 : 1,291,093 = 1,291,093 : x
  2. Step 2: Convert to fraction form
    835,142/1,291,093 = 1,291,093/x
  3. Step 3: Cross multiply
    835,142x = 1,291,093 × 1,291,093
  4. Step 4: Simplify right side
    835,142x = 1,666,921,134,649
  5. Step 5: Solve for x
    x = 1,666,921,134,649/835,142
  6. Step 6: Final answer
    x = 1,995,973.30

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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.