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Finding the Third Proportional to 2,275,162 and 4,830,260

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Solution

The third proportional to 2,275,162 and 4,830,260 is: 10,254,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275,162 : 4,830,260 = 4,830,260 : x
  2. Step 2: Convert to fraction form
    2,275,162/4,830,260 = 4,830,260/x
  3. Step 3: Cross multiply
    2,275,162x = 4,830,260 × 4,830,260
  4. Step 4: Simplify right side
    2,275,162x = 23,331,411,667,600
  5. Step 5: Solve for x
    x = 23,331,411,667,600/2,275,162
  6. Step 6: Final answer
    x = 10,254,835.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.