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Finding the Third Proportional to 464,050 and 1,013,324

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Solution

The third proportional to 464,050 and 1,013,324 is: 2,212,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,050 : 1,013,324 = 1,013,324 : x
  2. Step 2: Convert to fraction form
    464,050/1,013,324 = 1,013,324/x
  3. Step 3: Cross multiply
    464,050x = 1,013,324 × 1,013,324
  4. Step 4: Simplify right side
    464,050x = 1,026,825,528,976
  5. Step 5: Solve for x
    x = 1,026,825,528,976/464,050
  6. Step 6: Final answer
    x = 2,212,747.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.