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Finding the Third Proportional to 2,102,356.50 and 4,496,229

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Solution

The third proportional to 2,102,356.50 and 4,496,229 is: 9,615,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,356.50 : 4,496,229 = 4,496,229 : x
  2. Step 2: Convert to fraction form
    2,102,356.50/4,496,229 = 4,496,229/x
  3. Step 3: Cross multiply
    2,102,356.50x = 4,496,229 × 4,496,229
  4. Step 4: Simplify right side
    2,102,356.50x = 20,216,075,220,441
  5. Step 5: Solve for x
    x = 20,216,075,220,441/2,102,356.50
  6. Step 6: Final answer
    x = 9,615,912.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.