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Finding the Third Proportional to 1,221,204 and 2,645,688

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Solution

The third proportional to 1,221,204 and 2,645,688 is: 5,731,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,204 : 2,645,688 = 2,645,688 : x
  2. Step 2: Convert to fraction form
    1,221,204/2,645,688 = 2,645,688/x
  3. Step 3: Cross multiply
    1,221,204x = 2,645,688 × 2,645,688
  4. Step 4: Simplify right side
    1,221,204x = 6,999,664,993,344
  5. Step 5: Solve for x
    x = 6,999,664,993,344/1,221,204
  6. Step 6: Final answer
    x = 5,731,773.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.