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Finding the Third Proportional to 516,249 and 1,107,231

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Solution

The third proportional to 516,249 and 1,107,231 is: 2,374,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,249 : 1,107,231 = 1,107,231 : x
  2. Step 2: Convert to fraction form
    516,249/1,107,231 = 1,107,231/x
  3. Step 3: Cross multiply
    516,249x = 1,107,231 × 1,107,231
  4. Step 4: Simplify right side
    516,249x = 1,225,960,487,361
  5. Step 5: Solve for x
    x = 1,225,960,487,361/516,249
  6. Step 6: Final answer
    x = 2,374,746.46

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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.