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Finding the Third Proportional to 2,034,874.41 and 4,237,200.49

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Solution

The third proportional to 2,034,874.41 and 4,237,200.49 is: 8,823,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,874.41 : 4,237,200.49 = 4,237,200.49 : x
  2. Step 2: Convert to fraction form
    2,034,874.41/4,237,200.49 = 4,237,200.49/x
  3. Step 3: Cross multiply
    2,034,874.41x = 4,237,200.49 × 4,237,200.49
  4. Step 4: Simplify right side
    2,034,874.41x = 17,953,868,010,993.99
  5. Step 5: Solve for x
    x = 17,953,868,010,993.99/2,034,874.41
  6. Step 6: Final answer
    x = 8,823,084.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.