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Finding the Third Proportional to 706,190 and 1,569,299

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Solution

The third proportional to 706,190 and 1,569,299 is: 3,487,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,190 : 1,569,299 = 1,569,299 : x
  2. Step 2: Convert to fraction form
    706,190/1,569,299 = 1,569,299/x
  3. Step 3: Cross multiply
    706,190x = 1,569,299 × 1,569,299
  4. Step 4: Simplify right side
    706,190x = 2,462,699,351,401
  5. Step 5: Solve for x
    x = 2,462,699,351,401/706,190
  6. Step 6: Final answer
    x = 3,487,304.20

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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.