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Finding the Third Proportional to 820,700 and 1,852,134

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Solution

The third proportional to 820,700 and 1,852,134 is: 4,179,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,700 : 1,852,134 = 1,852,134 : x
  2. Step 2: Convert to fraction form
    820,700/1,852,134 = 1,852,134/x
  3. Step 3: Cross multiply
    820,700x = 1,852,134 × 1,852,134
  4. Step 4: Simplify right side
    820,700x = 3,430,400,353,956
  5. Step 5: Solve for x
    x = 3,430,400,353,956/820,700
  6. Step 6: Final answer
    x = 4,179,846.90

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.