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Finding the Third Proportional to 610,904 and 1,263,704

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Solution

The third proportional to 610,904 and 1,263,704 is: 2,614,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,904 : 1,263,704 = 1,263,704 : x
  2. Step 2: Convert to fraction form
    610,904/1,263,704 = 1,263,704/x
  3. Step 3: Cross multiply
    610,904x = 1,263,704 × 1,263,704
  4. Step 4: Simplify right side
    610,904x = 1,596,947,799,616
  5. Step 5: Solve for x
    x = 1,596,947,799,616/610,904
  6. Step 6: Final answer
    x = 2,614,073.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.