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Finding the Third Proportional to 2,351,045 and 3,517,455

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Solution

The third proportional to 2,351,045 and 3,517,455 is: 5,262,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351,045 : 3,517,455 = 3,517,455 : x
  2. Step 2: Convert to fraction form
    2,351,045/3,517,455 = 3,517,455/x
  3. Step 3: Cross multiply
    2,351,045x = 3,517,455 × 3,517,455
  4. Step 4: Simplify right side
    2,351,045x = 12,372,489,677,025
  5. Step 5: Solve for x
    x = 12,372,489,677,025/2,351,045
  6. Step 6: Final answer
    x = 5,262,549.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.