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Finding the Third Proportional to 1,217,862 and 1,702,643.25

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Solution

The third proportional to 1,217,862 and 1,702,643.25 is: 2,380,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,862 : 1,702,643.25 = 1,702,643.25 : x
  2. Step 2: Convert to fraction form
    1,217,862/1,702,643.25 = 1,702,643.25/x
  3. Step 3: Cross multiply
    1,217,862x = 1,702,643.25 × 1,702,643.25
  4. Step 4: Simplify right side
    1,217,862x = 2,898,994,036,770.56
  5. Step 5: Solve for x
    x = 2,898,994,036,770.56/1,217,862
  6. Step 6: Final answer
    x = 2,380,396.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.