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Finding the Third Proportional to 2,048,906.25 and 3,006,930.38

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Solution

The third proportional to 2,048,906.25 and 3,006,930.38 is: 4,412,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,906.25 : 3,006,930.38 = 3,006,930.38 : x
  2. Step 2: Convert to fraction form
    2,048,906.25/3,006,930.38 = 3,006,930.38/x
  3. Step 3: Cross multiply
    2,048,906.25x = 3,006,930.38 × 3,006,930.38
  4. Step 4: Simplify right side
    2,048,906.25x = 9,041,630,280,097.64
  5. Step 5: Solve for x
    x = 9,041,630,280,097.64/2,048,906.25
  6. Step 6: Final answer
    x = 4,412,905.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.