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Finding the Third Proportional to 543,858 and 1,166,421

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Solution

The third proportional to 543,858 and 1,166,421 is: 2,501,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,858 : 1,166,421 = 1,166,421 : x
  2. Step 2: Convert to fraction form
    543,858/1,166,421 = 1,166,421/x
  3. Step 3: Cross multiply
    543,858x = 1,166,421 × 1,166,421
  4. Step 4: Simplify right side
    543,858x = 1,360,537,949,241
  5. Step 5: Solve for x
    x = 1,360,537,949,241/543,858
  6. Step 6: Final answer
    x = 2,501,641.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.