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Finding the Third Proportional to 774,380 and 1,173,243

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Solution

The third proportional to 774,380 and 1,173,243 is: 1,777,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,380 : 1,173,243 = 1,173,243 : x
  2. Step 2: Convert to fraction form
    774,380/1,173,243 = 1,173,243/x
  3. Step 3: Cross multiply
    774,380x = 1,173,243 × 1,173,243
  4. Step 4: Simplify right side
    774,380x = 1,376,499,137,049
  5. Step 5: Solve for x
    x = 1,376,499,137,049/774,380
  6. Step 6: Final answer
    x = 1,777,549.96

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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.