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Finding the Third Proportional to 458,856 and 1,006,344

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Solution

The third proportional to 458,856 and 1,006,344 is: 2,207,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,856 : 1,006,344 = 1,006,344 : x
  2. Step 2: Convert to fraction form
    458,856/1,006,344 = 1,006,344/x
  3. Step 3: Cross multiply
    458,856x = 1,006,344 × 1,006,344
  4. Step 4: Simplify right side
    458,856x = 1,012,728,246,336
  5. Step 5: Solve for x
    x = 1,012,728,246,336/458,856
  6. Step 6: Final answer
    x = 2,207,072.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.