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Finding the Third Proportional to 706,164 and 1,569,247

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Solution

The third proportional to 706,164 and 1,569,247 is: 3,487,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,164 : 1,569,247 = 1,569,247 : x
  2. Step 2: Convert to fraction form
    706,164/1,569,247 = 1,569,247/x
  3. Step 3: Cross multiply
    706,164x = 1,569,247 × 1,569,247
  4. Step 4: Simplify right side
    706,164x = 2,462,536,147,009
  5. Step 5: Solve for x
    x = 2,462,536,147,009/706,164
  6. Step 6: Final answer
    x = 3,487,201.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.