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Finding the Third Proportional to 757,569 and 1,635,312

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Solution

The third proportional to 757,569 and 1,635,312 is: 3,530,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,569 : 1,635,312 = 1,635,312 : x
  2. Step 2: Convert to fraction form
    757,569/1,635,312 = 1,635,312/x
  3. Step 3: Cross multiply
    757,569x = 1,635,312 × 1,635,312
  4. Step 4: Simplify right side
    757,569x = 2,674,245,337,344
  5. Step 5: Solve for x
    x = 2,674,245,337,344/757,569
  6. Step 6: Final answer
    x = 3,530,035.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.