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Finding the Third Proportional to 458,280 and 1,006,836

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Solution

The third proportional to 458,280 and 1,006,836 is: 2,212,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,280 : 1,006,836 = 1,006,836 : x
  2. Step 2: Convert to fraction form
    458,280/1,006,836 = 1,006,836/x
  3. Step 3: Cross multiply
    458,280x = 1,006,836 × 1,006,836
  4. Step 4: Simplify right side
    458,280x = 1,013,718,730,896
  5. Step 5: Solve for x
    x = 1,013,718,730,896/458,280
  6. Step 6: Final answer
    x = 2,212,007.36

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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.