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Finding the Third Proportional to 496,842 and 1,077,708

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Solution

The third proportional to 496,842 and 1,077,708 is: 2,337,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,842 : 1,077,708 = 1,077,708 : x
  2. Step 2: Convert to fraction form
    496,842/1,077,708 = 1,077,708/x
  3. Step 3: Cross multiply
    496,842x = 1,077,708 × 1,077,708
  4. Step 4: Simplify right side
    496,842x = 1,161,454,533,264
  5. Step 5: Solve for x
    x = 1,161,454,533,264/496,842
  6. Step 6: Final answer
    x = 2,337,673.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.