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Finding the Third Proportional to 390,614 and 856,009

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Solution

The third proportional to 390,614 and 856,009 is: 1,875,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,614 : 856,009 = 856,009 : x
  2. Step 2: Convert to fraction form
    390,614/856,009 = 856,009/x
  3. Step 3: Cross multiply
    390,614x = 856,009 × 856,009
  4. Step 4: Simplify right side
    390,614x = 732,751,408,081
  5. Step 5: Solve for x
    x = 732,751,408,081/390,614
  6. Step 6: Final answer
    x = 1,875,896.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.