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Finding the Third Proportional to 3,080,430 and 4,788,659.25

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Solution

The third proportional to 3,080,430 and 4,788,659.25 is: 7,444,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080,430 : 4,788,659.25 = 4,788,659.25 : x
  2. Step 2: Convert to fraction form
    3,080,430/4,788,659.25 = 4,788,659.25/x
  3. Step 3: Cross multiply
    3,080,430x = 4,788,659.25 × 4,788,659.25
  4. Step 4: Simplify right side
    3,080,430x = 22,931,257,412,610.56
  5. Step 5: Solve for x
    x = 22,931,257,412,610.56/3,080,430
  6. Step 6: Final answer
    x = 7,444,174.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.