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Finding the Third Proportional to 649,308 and 1,416,708

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Solution

The third proportional to 649,308 and 1,416,708 is: 3,091,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,308 : 1,416,708 = 1,416,708 : x
  2. Step 2: Convert to fraction form
    649,308/1,416,708 = 1,416,708/x
  3. Step 3: Cross multiply
    649,308x = 1,416,708 × 1,416,708
  4. Step 4: Simplify right side
    649,308x = 2,007,061,557,264
  5. Step 5: Solve for x
    x = 2,007,061,557,264/649,308
  6. Step 6: Final answer
    x = 3,091,077.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.