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Finding the Third Proportional to 1,291,862 and 2,781,148

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Solution

The third proportional to 1,291,862 and 2,781,148 is: 5,987,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,862 : 2,781,148 = 2,781,148 : x
  2. Step 2: Convert to fraction form
    1,291,862/2,781,148 = 2,781,148/x
  3. Step 3: Cross multiply
    1,291,862x = 2,781,148 × 2,781,148
  4. Step 4: Simplify right side
    1,291,862x = 7,734,784,197,904
  5. Step 5: Solve for x
    x = 7,734,784,197,904/1,291,862
  6. Step 6: Final answer
    x = 5,987,314.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.