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Finding the Third Proportional to 2,095,264.50 and 4,602,027

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Solution

The third proportional to 2,095,264.50 and 4,602,027 is: 10,107,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,264.50 : 4,602,027 = 4,602,027 : x
  2. Step 2: Convert to fraction form
    2,095,264.50/4,602,027 = 4,602,027/x
  3. Step 3: Cross multiply
    2,095,264.50x = 4,602,027 × 4,602,027
  4. Step 4: Simplify right side
    2,095,264.50x = 21,178,652,508,729
  5. Step 5: Solve for x
    x = 21,178,652,508,729/2,095,264.50
  6. Step 6: Final answer
    x = 10,107,865.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.