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Finding the Third Proportional to 724,356 and 1,626,696

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Solution

The third proportional to 724,356 and 1,626,696 is: 3,653,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,356 : 1,626,696 = 1,626,696 : x
  2. Step 2: Convert to fraction form
    724,356/1,626,696 = 1,626,696/x
  3. Step 3: Cross multiply
    724,356x = 1,626,696 × 1,626,696
  4. Step 4: Simplify right side
    724,356x = 2,646,139,876,416
  5. Step 5: Solve for x
    x = 2,646,139,876,416/724,356
  6. Step 6: Final answer
    x = 3,653,093.06

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.