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Finding the Third Proportional to 834,894 and 1,819,764

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Solution

The third proportional to 834,894 and 1,819,764 is: 3,966,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,894 : 1,819,764 = 1,819,764 : x
  2. Step 2: Convert to fraction form
    834,894/1,819,764 = 1,819,764/x
  3. Step 3: Cross multiply
    834,894x = 1,819,764 × 1,819,764
  4. Step 4: Simplify right side
    834,894x = 3,311,541,015,696
  5. Step 5: Solve for x
    x = 3,311,541,015,696/834,894
  6. Step 6: Final answer
    x = 3,966,420.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.