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Finding the Third Proportional to 516,976 and 1,116,972

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Solution

The third proportional to 516,976 and 1,116,972 is: 2,413,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,976 : 1,116,972 = 1,116,972 : x
  2. Step 2: Convert to fraction form
    516,976/1,116,972 = 1,116,972/x
  3. Step 3: Cross multiply
    516,976x = 1,116,972 × 1,116,972
  4. Step 4: Simplify right side
    516,976x = 1,247,626,448,784
  5. Step 5: Solve for x
    x = 1,247,626,448,784/516,976
  6. Step 6: Final answer
    x = 2,413,315.99

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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.