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Finding the Third Proportional to 774,018 and 1,172,704

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Solution

The third proportional to 774,018 and 1,172,704 is: 1,776,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,018 : 1,172,704 = 1,172,704 : x
  2. Step 2: Convert to fraction form
    774,018/1,172,704 = 1,172,704/x
  3. Step 3: Cross multiply
    774,018x = 1,172,704 × 1,172,704
  4. Step 4: Simplify right side
    774,018x = 1,375,234,671,616
  5. Step 5: Solve for x
    x = 1,375,234,671,616/774,018
  6. Step 6: Final answer
    x = 1,776,747.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.