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Finding the Third Proportional to 784,114 and 1,700,996

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Solution

The third proportional to 784,114 and 1,700,996 is: 3,690,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,114 : 1,700,996 = 1,700,996 : x
  2. Step 2: Convert to fraction form
    784,114/1,700,996 = 1,700,996/x
  3. Step 3: Cross multiply
    784,114x = 1,700,996 × 1,700,996
  4. Step 4: Simplify right side
    784,114x = 2,893,387,392,016
  5. Step 5: Solve for x
    x = 2,893,387,392,016/784,114
  6. Step 6: Final answer
    x = 3,690,008.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.