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Finding the Third Proportional to 1,114,926 and 1,682,829

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Solution

The third proportional to 1,114,926 and 1,682,829 is: 2,540,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,926 : 1,682,829 = 1,682,829 : x
  2. Step 2: Convert to fraction form
    1,114,926/1,682,829 = 1,682,829/x
  3. Step 3: Cross multiply
    1,114,926x = 1,682,829 × 1,682,829
  4. Step 4: Simplify right side
    1,114,926x = 2,831,913,443,241
  5. Step 5: Solve for x
    x = 2,831,913,443,241/1,114,926
  6. Step 6: Final answer
    x = 2,540,001.26

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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.