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Finding the Third Proportional to 594,162 and 1,283,023

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Solution

The third proportional to 594,162 and 1,283,023 is: 2,770,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,162 : 1,283,023 = 1,283,023 : x
  2. Step 2: Convert to fraction form
    594,162/1,283,023 = 1,283,023/x
  3. Step 3: Cross multiply
    594,162x = 1,283,023 × 1,283,023
  4. Step 4: Simplify right side
    594,162x = 1,646,148,018,529
  5. Step 5: Solve for x
    x = 1,646,148,018,529/594,162
  6. Step 6: Final answer
    x = 2,770,537.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.