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Finding the Third Proportional to 862,976 and 1,293,816

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Solution

The third proportional to 862,976 and 1,293,816 is: 1,939,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,976 : 1,293,816 = 1,293,816 : x
  2. Step 2: Convert to fraction form
    862,976/1,293,816 = 1,293,816/x
  3. Step 3: Cross multiply
    862,976x = 1,293,816 × 1,293,816
  4. Step 4: Simplify right side
    862,976x = 1,673,959,841,856
  5. Step 5: Solve for x
    x = 1,673,959,841,856/862,976
  6. Step 6: Final answer
    x = 1,939,752.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.