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Finding the Third Proportional to 786,850 and 1,715,977

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Solution

The third proportional to 786,850 and 1,715,977 is: 3,742,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,850 : 1,715,977 = 1,715,977 : x
  2. Step 2: Convert to fraction form
    786,850/1,715,977 = 1,715,977/x
  3. Step 3: Cross multiply
    786,850x = 1,715,977 × 1,715,977
  4. Step 4: Simplify right side
    786,850x = 2,944,577,064,529
  5. Step 5: Solve for x
    x = 2,944,577,064,529/786,850
  6. Step 6: Final answer
    x = 3,742,234.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.