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Finding the Third Proportional to 458,252 and 1,006,156

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Solution

The third proportional to 458,252 and 1,006,156 is: 2,209,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,252 : 1,006,156 = 1,006,156 : x
  2. Step 2: Convert to fraction form
    458,252/1,006,156 = 1,006,156/x
  3. Step 3: Cross multiply
    458,252x = 1,006,156 × 1,006,156
  4. Step 4: Simplify right side
    458,252x = 1,012,349,896,336
  5. Step 5: Solve for x
    x = 1,012,349,896,336/458,252
  6. Step 6: Final answer
    x = 2,209,155.43

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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.