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Finding the Third Proportional to 399,054 and 861,412

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Solution

The third proportional to 399,054 and 861,412 is: 1,859,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,054 : 861,412 = 861,412 : x
  2. Step 2: Convert to fraction form
    399,054/861,412 = 861,412/x
  3. Step 3: Cross multiply
    399,054x = 861,412 × 861,412
  4. Step 4: Simplify right side
    399,054x = 742,030,633,744
  5. Step 5: Solve for x
    x = 742,030,633,744/399,054
  6. Step 6: Final answer
    x = 1,859,474.24

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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.