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Finding the Third Proportional to 706,178 and 1,569,275

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Solution

The third proportional to 706,178 and 1,569,275 is: 3,487,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,178 : 1,569,275 = 1,569,275 : x
  2. Step 2: Convert to fraction form
    706,178/1,569,275 = 1,569,275/x
  3. Step 3: Cross multiply
    706,178x = 1,569,275 × 1,569,275
  4. Step 4: Simplify right side
    706,178x = 2,462,624,025,625
  5. Step 5: Solve for x
    x = 2,462,624,025,625/706,178
  6. Step 6: Final answer
    x = 3,487,256.79

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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.