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Finding the Third Proportional to 706,182 and 1,569,283

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Solution

The third proportional to 706,182 and 1,569,283 is: 3,487,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,182 : 1,569,283 = 1,569,283 : x
  2. Step 2: Convert to fraction form
    706,182/1,569,283 = 1,569,283/x
  3. Step 3: Cross multiply
    706,182x = 1,569,283 × 1,569,283
  4. Step 4: Simplify right side
    706,182x = 2,462,649,134,089
  5. Step 5: Solve for x
    x = 2,462,649,134,089/706,182
  6. Step 6: Final answer
    x = 3,487,272.59

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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.