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Finding the Third Proportional to 724,360 and 1,626,704

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Solution

The third proportional to 724,360 and 1,626,704 is: 3,653,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,360 : 1,626,704 = 1,626,704 : x
  2. Step 2: Convert to fraction form
    724,360/1,626,704 = 1,626,704/x
  3. Step 3: Cross multiply
    724,360x = 1,626,704 × 1,626,704
  4. Step 4: Simplify right side
    724,360x = 2,646,165,903,616
  5. Step 5: Solve for x
    x = 2,646,165,903,616/724,360
  6. Step 6: Final answer
    x = 3,653,108.82

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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.