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Finding the Third Proportional to 2,106,315 and 3,174,331.50

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Solution

The third proportional to 2,106,315 and 3,174,331.50 is: 4,783,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,315 : 3,174,331.50 = 3,174,331.50 : x
  2. Step 2: Convert to fraction form
    2,106,315/3,174,331.50 = 3,174,331.50/x
  3. Step 3: Cross multiply
    2,106,315x = 3,174,331.50 × 3,174,331.50
  4. Step 4: Simplify right side
    2,106,315x = 10,076,380,471,892.25
  5. Step 5: Solve for x
    x = 10,076,380,471,892.25/2,106,315
  6. Step 6: Final answer
    x = 4,783,890.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.