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Finding the Third Proportional to 664,690 and 1,462,292

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Solution

The third proportional to 664,690 and 1,462,292 is: 3,216,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,690 : 1,462,292 = 1,462,292 : x
  2. Step 2: Convert to fraction form
    664,690/1,462,292 = 1,462,292/x
  3. Step 3: Cross multiply
    664,690x = 1,462,292 × 1,462,292
  4. Step 4: Simplify right side
    664,690x = 2,138,297,893,264
  5. Step 5: Solve for x
    x = 2,138,297,893,264/664,690
  6. Step 6: Final answer
    x = 3,216,985.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.