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Finding the Third Proportional to 458,838 and 1,006,317

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Solution

The third proportional to 458,838 and 1,006,317 is: 2,207,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,838 : 1,006,317 = 1,006,317 : x
  2. Step 2: Convert to fraction form
    458,838/1,006,317 = 1,006,317/x
  3. Step 3: Cross multiply
    458,838x = 1,006,317 × 1,006,317
  4. Step 4: Simplify right side
    458,838x = 1,012,673,904,489
  5. Step 5: Solve for x
    x = 1,012,673,904,489/458,838
  6. Step 6: Final answer
    x = 2,207,040.19

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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.