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Finding the Third Proportional to 840,169 and 1,843,634

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Solution

The third proportional to 840,169 and 1,843,634 is: 4,045,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,169 : 1,843,634 = 1,843,634 : x
  2. Step 2: Convert to fraction form
    840,169/1,843,634 = 1,843,634/x
  3. Step 3: Cross multiply
    840,169x = 1,843,634 × 1,843,634
  4. Step 4: Simplify right side
    840,169x = 3,398,986,325,956
  5. Step 5: Solve for x
    x = 3,398,986,325,956/840,169
  6. Step 6: Final answer
    x = 4,045,598.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.