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Finding the Third Proportional to 1,360,381 and 2,965,706

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Solution

The third proportional to 1,360,381 and 2,965,706 is: 6,465,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,381 : 2,965,706 = 2,965,706 : x
  2. Step 2: Convert to fraction form
    1,360,381/2,965,706 = 2,965,706/x
  3. Step 3: Cross multiply
    1,360,381x = 2,965,706 × 2,965,706
  4. Step 4: Simplify right side
    1,360,381x = 8,795,412,078,436
  5. Step 5: Solve for x
    x = 8,795,412,078,436/1,360,381
  6. Step 6: Final answer
    x = 6,465,403.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.