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Finding the Third Proportional to 482,061 and 920,381

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Solution

The third proportional to 482,061 and 920,381 is: 1,757,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,061 : 920,381 = 920,381 : x
  2. Step 2: Convert to fraction form
    482,061/920,381 = 920,381/x
  3. Step 3: Cross multiply
    482,061x = 920,381 × 920,381
  4. Step 4: Simplify right side
    482,061x = 847,101,185,161
  5. Step 5: Solve for x
    x = 847,101,185,161/482,061
  6. Step 6: Final answer
    x = 1,757,248.95

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.