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Finding the Third Proportional to 497,880 and 1,074,816

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Solution

The third proportional to 497,880 and 1,074,816 is: 2,320,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,880 : 1,074,816 = 1,074,816 : x
  2. Step 2: Convert to fraction form
    497,880/1,074,816 = 1,074,816/x
  3. Step 3: Cross multiply
    497,880x = 1,074,816 × 1,074,816
  4. Step 4: Simplify right side
    497,880x = 1,155,229,433,856
  5. Step 5: Solve for x
    x = 1,155,229,433,856/497,880
  6. Step 6: Final answer
    x = 2,320,296.93

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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.