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Finding the Third Proportional to 569,106 and 857,415.38

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Solution

The third proportional to 569,106 and 857,415.38 is: 1,291,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,106 : 857,415.38 = 857,415.38 : x
  2. Step 2: Convert to fraction form
    569,106/857,415.38 = 857,415.38/x
  3. Step 3: Cross multiply
    569,106x = 857,415.38 × 857,415.38
  4. Step 4: Simplify right side
    569,106x = 735,161,125,286.39
  5. Step 5: Solve for x
    x = 735,161,125,286.39/569,106
  6. Step 6: Final answer
    x = 1,291,782.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.