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Finding the Third Proportional to 2,908,297.50 and 6,189,843

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Solution

The third proportional to 2,908,297.50 and 6,189,843 is: 13,174,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908,297.50 : 6,189,843 = 6,189,843 : x
  2. Step 2: Convert to fraction form
    2,908,297.50/6,189,843 = 6,189,843/x
  3. Step 3: Cross multiply
    2,908,297.50x = 6,189,843 × 6,189,843
  4. Step 4: Simplify right side
    2,908,297.50x = 38,314,156,364,649
  5. Step 5: Solve for x
    x = 38,314,156,364,649/2,908,297.50
  6. Step 6: Final answer
    x = 13,174,084.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.