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Finding the Third Proportional to 706,272 and 1,569,464

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Solution

The third proportional to 706,272 and 1,569,464 is: 3,487,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,272 : 1,569,464 = 1,569,464 : x
  2. Step 2: Convert to fraction form
    706,272/1,569,464 = 1,569,464/x
  3. Step 3: Cross multiply
    706,272x = 1,569,464 × 1,569,464
  4. Step 4: Simplify right side
    706,272x = 2,463,217,247,296
  5. Step 5: Solve for x
    x = 2,463,217,247,296/706,272
  6. Step 6: Final answer
    x = 3,487,632.59

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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.