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Finding the Third Proportional to 846,111 and 1,846,561

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Solution

The third proportional to 846,111 and 1,846,561 is: 4,029,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,111 : 1,846,561 = 1,846,561 : x
  2. Step 2: Convert to fraction form
    846,111/1,846,561 = 1,846,561/x
  3. Step 3: Cross multiply
    846,111x = 1,846,561 × 1,846,561
  4. Step 4: Simplify right side
    846,111x = 3,409,787,526,721
  5. Step 5: Solve for x
    x = 3,409,787,526,721/846,111
  6. Step 6: Final answer
    x = 4,029,952.96

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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.