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Finding the Third Proportional to 458,859 and 1,006,350

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Solution

The third proportional to 458,859 and 1,006,350 is: 2,207,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,859 : 1,006,350 = 1,006,350 : x
  2. Step 2: Convert to fraction form
    458,859/1,006,350 = 1,006,350/x
  3. Step 3: Cross multiply
    458,859x = 1,006,350 × 1,006,350
  4. Step 4: Simplify right side
    458,859x = 1,012,740,322,500
  5. Step 5: Solve for x
    x = 1,012,740,322,500/458,859
  6. Step 6: Final answer
    x = 2,207,083.92

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