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Finding the Third Proportional to 784,116 and 1,701,000

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Solution

The third proportional to 784,116 and 1,701,000 is: 3,690,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,116 : 1,701,000 = 1,701,000 : x
  2. Step 2: Convert to fraction form
    784,116/1,701,000 = 1,701,000/x
  3. Step 3: Cross multiply
    784,116x = 1,701,000 × 1,701,000
  4. Step 4: Simplify right side
    784,116x = 2,893,401,000,000
  5. Step 5: Solve for x
    x = 2,893,401,000,000/784,116
  6. Step 6: Final answer
    x = 3,690,016.53

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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.