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Finding the Third Proportional to 516,141 and 1,214,519.63

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Solution

The third proportional to 516,141 and 1,214,519.63 is: 2,857,858.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,141 : 1,214,519.63 = 1,214,519.63 : x
  2. Step 2: Convert to fraction form
    516,141/1,214,519.63 = 1,214,519.63/x
  3. Step 3: Cross multiply
    516,141x = 1,214,519.63 × 1,214,519.63
  4. Step 4: Simplify right side
    516,141x = 1,475,057,919,510.14
  5. Step 5: Solve for x
    x = 1,475,057,919,510.14/516,141
  6. Step 6: Final answer
    x = 2,857,858.45

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.