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Finding the Third Proportional to 1,029,336 and 2,268,084

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Solution

The third proportional to 1,029,336 and 2,268,084 is: 4,997,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,336 : 2,268,084 = 2,268,084 : x
  2. Step 2: Convert to fraction form
    1,029,336/2,268,084 = 2,268,084/x
  3. Step 3: Cross multiply
    1,029,336x = 2,268,084 × 2,268,084
  4. Step 4: Simplify right side
    1,029,336x = 5,144,205,031,056
  5. Step 5: Solve for x
    x = 5,144,205,031,056/1,029,336
  6. Step 6: Final answer
    x = 4,997,595.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.