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Finding the Third Proportional to 784,118 and 1,701,004

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Solution

The third proportional to 784,118 and 1,701,004 is: 3,690,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,118 : 1,701,004 = 1,701,004 : x
  2. Step 2: Convert to fraction form
    784,118/1,701,004 = 1,701,004/x
  3. Step 3: Cross multiply
    784,118x = 1,701,004 × 1,701,004
  4. Step 4: Simplify right side
    784,118x = 2,893,414,608,016
  5. Step 5: Solve for x
    x = 2,893,414,608,016/784,118
  6. Step 6: Final answer
    x = 3,690,024.47

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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.