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Finding the Third Proportional to 2,034,400 and 2,989,320

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Solution

The third proportional to 2,034,400 and 2,989,320 is: 4,392,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,400 : 2,989,320 = 2,989,320 : x
  2. Step 2: Convert to fraction form
    2,034,400/2,989,320 = 2,989,320/x
  3. Step 3: Cross multiply
    2,034,400x = 2,989,320 × 2,989,320
  4. Step 4: Simplify right side
    2,034,400x = 8,936,034,062,400
  5. Step 5: Solve for x
    x = 8,936,034,062,400/2,034,400
  6. Step 6: Final answer
    x = 4,392,466.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.