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Finding the Third Proportional to 2,908,296 and 6,189,840

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Solution

The third proportional to 2,908,296 and 6,189,840 is: 13,174,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908,296 : 6,189,840 = 6,189,840 : x
  2. Step 2: Convert to fraction form
    2,908,296/6,189,840 = 6,189,840/x
  3. Step 3: Cross multiply
    2,908,296x = 6,189,840 × 6,189,840
  4. Step 4: Simplify right side
    2,908,296x = 38,314,119,225,600
  5. Step 5: Solve for x
    x = 38,314,119,225,600/2,908,296
  6. Step 6: Final answer
    x = 13,174,078.30

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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.