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Finding the Third Proportional to 834,000 and 1,797,696

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Solution

The third proportional to 834,000 and 1,797,696 is: 3,874,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,000 : 1,797,696 = 1,797,696 : x
  2. Step 2: Convert to fraction form
    834,000/1,797,696 = 1,797,696/x
  3. Step 3: Cross multiply
    834,000x = 1,797,696 × 1,797,696
  4. Step 4: Simplify right side
    834,000x = 3,231,710,908,416
  5. Step 5: Solve for x
    x = 3,231,710,908,416/834,000
  6. Step 6: Final answer
    x = 3,874,953.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.