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Finding the Third Proportional to 516,267 and 1,107,266.63

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Solution

The third proportional to 516,267 and 1,107,266.63 is: 2,374,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,267 : 1,107,266.63 = 1,107,266.63 : x
  2. Step 2: Convert to fraction form
    516,267/1,107,266.63 = 1,107,266.63/x
  3. Step 3: Cross multiply
    516,267x = 1,107,266.63 × 1,107,266.63
  4. Step 4: Simplify right side
    516,267x = 1,226,039,378,838.89
  5. Step 5: Solve for x
    x = 1,226,039,378,838.89/516,267
  6. Step 6: Final answer
    x = 2,374,816.48

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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.