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Finding the Third Proportional to 706,250 and 1,569,420

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Solution

The third proportional to 706,250 and 1,569,420 is: 3,487,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,250 : 1,569,420 = 1,569,420 : x
  2. Step 2: Convert to fraction form
    706,250/1,569,420 = 1,569,420/x
  3. Step 3: Cross multiply
    706,250x = 1,569,420 × 1,569,420
  4. Step 4: Simplify right side
    706,250x = 2,463,079,136,400
  5. Step 5: Solve for x
    x = 2,463,079,136,400/706,250
  6. Step 6: Final answer
    x = 3,487,545.68

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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.