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Finding the Third Proportional to 834,920 and 1,827,376

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Solution

The third proportional to 834,920 and 1,827,376 is: 3,999,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,920 : 1,827,376 = 1,827,376 : x
  2. Step 2: Convert to fraction form
    834,920/1,827,376 = 1,827,376/x
  3. Step 3: Cross multiply
    834,920x = 1,827,376 × 1,827,376
  4. Step 4: Simplify right side
    834,920x = 3,339,303,045,376
  5. Step 5: Solve for x
    x = 3,339,303,045,376/834,920
  6. Step 6: Final answer
    x = 3,999,548.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.