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Finding the Third Proportional to 516,228 and 1,107,168

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Solution

The third proportional to 516,228 and 1,107,168 is: 2,374,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,228 : 1,107,168 = 1,107,168 : x
  2. Step 2: Convert to fraction form
    516,228/1,107,168 = 1,107,168/x
  3. Step 3: Cross multiply
    516,228x = 1,107,168 × 1,107,168
  4. Step 4: Simplify right side
    516,228x = 1,225,820,980,224
  5. Step 5: Solve for x
    x = 1,225,820,980,224/516,228
  6. Step 6: Final answer
    x = 2,374,572.82

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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.