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Finding the Third Proportional to 1,306,096 and 2,017,373

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Solution

The third proportional to 1,306,096 and 2,017,373 is: 3,115,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,096 : 2,017,373 = 2,017,373 : x
  2. Step 2: Convert to fraction form
    1,306,096/2,017,373 = 2,017,373/x
  3. Step 3: Cross multiply
    1,306,096x = 2,017,373 × 2,017,373
  4. Step 4: Simplify right side
    1,306,096x = 4,069,793,821,129
  5. Step 5: Solve for x
    x = 4,069,793,821,129/1,306,096
  6. Step 6: Final answer
    x = 3,115,998.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.