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Finding the Third Proportional to 834,013.13 and 1,820,956.50

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Solution

The third proportional to 834,013.13 and 1,820,956.50 is: 3,975,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,013.13 : 1,820,956.50 = 1,820,956.50 : x
  2. Step 2: Convert to fraction form
    834,013.13/1,820,956.50 = 1,820,956.50/x
  3. Step 3: Cross multiply
    834,013.13x = 1,820,956.50 × 1,820,956.50
  4. Step 4: Simplify right side
    834,013.13x = 3,315,882,574,892.25
  5. Step 5: Solve for x
    x = 3,315,882,574,892.25/834,013.13
  6. Step 6: Final answer
    x = 3,975,815.82

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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.