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Finding the Third Proportional to 771,990 and 1,701,039

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Solution

The third proportional to 771,990 and 1,701,039 is: 3,748,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,990 : 1,701,039 = 1,701,039 : x
  2. Step 2: Convert to fraction form
    771,990/1,701,039 = 1,701,039/x
  3. Step 3: Cross multiply
    771,990x = 1,701,039 × 1,701,039
  4. Step 4: Simplify right side
    771,990x = 2,893,533,679,521
  5. Step 5: Solve for x
    x = 2,893,533,679,521/771,990
  6. Step 6: Final answer
    x = 3,748,149.17

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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.