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Finding the Third Proportional to 659,801 and 1,445,705

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Solution

The third proportional to 659,801 and 1,445,705 is: 3,167,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,801 : 1,445,705 = 1,445,705 : x
  2. Step 2: Convert to fraction form
    659,801/1,445,705 = 1,445,705/x
  3. Step 3: Cross multiply
    659,801x = 1,445,705 × 1,445,705
  4. Step 4: Simplify right side
    659,801x = 2,090,062,947,025
  5. Step 5: Solve for x
    x = 2,090,062,947,025/659,801
  6. Step 6: Final answer
    x = 3,167,717.16

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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.