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Finding the Third Proportional to 458,222.06 and 1,006,851.52

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Solution

The third proportional to 458,222.06 and 1,006,851.52 is: 2,212,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,222.06 : 1,006,851.52 = 1,006,851.52 : x
  2. Step 2: Convert to fraction form
    458,222.06/1,006,851.52 = 1,006,851.52/x
  3. Step 3: Cross multiply
    458,222.06x = 1,006,851.52 × 1,006,851.52
  4. Step 4: Simplify right side
    458,222.06x = 1,013,749,974,516.36
  5. Step 5: Solve for x
    x = 1,013,749,974,516.36/458,222.06
  6. Step 6: Final answer
    x = 2,212,355.23

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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.