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Finding the Third Proportional to 789,376 and 1,203,712

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Solution

The third proportional to 789,376 and 1,203,712 is: 1,835,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,376 : 1,203,712 = 1,203,712 : x
  2. Step 2: Convert to fraction form
    789,376/1,203,712 = 1,203,712/x
  3. Step 3: Cross multiply
    789,376x = 1,203,712 × 1,203,712
  4. Step 4: Simplify right side
    789,376x = 1,448,922,578,944
  5. Step 5: Solve for x
    x = 1,448,922,578,944/789,376
  6. Step 6: Final answer
    x = 1,835,529.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.