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Finding the Third Proportional to 541,346 and 1,165,636

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Solution

The third proportional to 541,346 and 1,165,636 is: 2,509,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,346 : 1,165,636 = 1,165,636 : x
  2. Step 2: Convert to fraction form
    541,346/1,165,636 = 1,165,636/x
  3. Step 3: Cross multiply
    541,346x = 1,165,636 × 1,165,636
  4. Step 4: Simplify right side
    541,346x = 1,358,707,284,496
  5. Step 5: Solve for x
    x = 1,358,707,284,496/541,346
  6. Step 6: Final answer
    x = 2,509,868.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.