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Finding the Third Proportional to 516,783 and 1,108,284

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Solution

The third proportional to 516,783 and 1,108,284 is: 2,376,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,783 : 1,108,284 = 1,108,284 : x
  2. Step 2: Convert to fraction form
    516,783/1,108,284 = 1,108,284/x
  3. Step 3: Cross multiply
    516,783x = 1,108,284 × 1,108,284
  4. Step 4: Simplify right side
    516,783x = 1,228,293,424,656
  5. Step 5: Solve for x
    x = 1,228,293,424,656/516,783
  6. Step 6: Final answer
    x = 2,376,806.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.