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Finding the Third Proportional to 3,080,433 and 4,788,664.50

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Solution

The third proportional to 3,080,433 and 4,788,664.50 is: 7,444,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080,433 : 4,788,664.50 = 4,788,664.50 : x
  2. Step 2: Convert to fraction form
    3,080,433/4,788,664.50 = 4,788,664.50/x
  3. Step 3: Cross multiply
    3,080,433x = 4,788,664.50 × 4,788,664.50
  4. Step 4: Simplify right side
    3,080,433x = 22,931,307,693,560.25
  5. Step 5: Solve for x
    x = 22,931,307,693,560.25/3,080,433
  6. Step 6: Final answer
    x = 7,444,183.23

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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.