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Finding the Third Proportional to 1,199,394 and 2,831,359

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Solution

The third proportional to 1,199,394 and 2,831,359 is: 6,683,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,394 : 2,831,359 = 2,831,359 : x
  2. Step 2: Convert to fraction form
    1,199,394/2,831,359 = 2,831,359/x
  3. Step 3: Cross multiply
    1,199,394x = 2,831,359 × 2,831,359
  4. Step 4: Simplify right side
    1,199,394x = 8,016,593,786,881
  5. Step 5: Solve for x
    x = 8,016,593,786,881/1,199,394
  6. Step 6: Final answer
    x = 6,683,870.18

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.