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Finding the Third Proportional to 541,557 and 1,173,417

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Solution

The third proportional to 541,557 and 1,173,417 is: 2,542,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,557 : 1,173,417 = 1,173,417 : x
  2. Step 2: Convert to fraction form
    541,557/1,173,417 = 1,173,417/x
  3. Step 3: Cross multiply
    541,557x = 1,173,417 × 1,173,417
  4. Step 4: Simplify right side
    541,557x = 1,376,907,455,889
  5. Step 5: Solve for x
    x = 1,376,907,455,889/541,557
  6. Step 6: Final answer
    x = 2,542,497.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.