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Finding the Third Proportional to 402,427.13 and 874,743.19

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Solution

The third proportional to 402,427.13 and 874,743.19 is: 1,901,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,427.13 : 874,743.19 = 874,743.19 : x
  2. Step 2: Convert to fraction form
    402,427.13/874,743.19 = 874,743.19/x
  3. Step 3: Cross multiply
    402,427.13x = 874,743.19 × 874,743.19
  4. Step 4: Simplify right side
    402,427.13x = 765,175,644,077.66
  5. Step 5: Solve for x
    x = 765,175,644,077.66/402,427.13
  6. Step 6: Final answer
    x = 1,901,401.76

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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.