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Finding the Third Proportional to 771,994 and 1,701,049

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Solution

The third proportional to 771,994 and 1,701,049 is: 3,748,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,994 : 1,701,049 = 1,701,049 : x
  2. Step 2: Convert to fraction form
    771,994/1,701,049 = 1,701,049/x
  3. Step 3: Cross multiply
    771,994x = 1,701,049 × 1,701,049
  4. Step 4: Simplify right side
    771,994x = 2,893,567,700,401
  5. Step 5: Solve for x
    x = 2,893,567,700,401/771,994
  6. Step 6: Final answer
    x = 3,748,173.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.