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Finding the Third Proportional to 466,341 and 1,006,242

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Solution

The third proportional to 466,341 and 1,006,242 is: 2,171,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,341 : 1,006,242 = 1,006,242 : x
  2. Step 2: Convert to fraction form
    466,341/1,006,242 = 1,006,242/x
  3. Step 3: Cross multiply
    466,341x = 1,006,242 × 1,006,242
  4. Step 4: Simplify right side
    466,341x = 1,012,522,962,564
  5. Step 5: Solve for x
    x = 1,012,522,962,564/466,341
  6. Step 6: Final answer
    x = 2,171,207.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.