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Finding the Third Proportional to 789,650 and 1,255,899

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Solution

The third proportional to 789,650 and 1,255,899 is: 1,997,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,650 : 1,255,899 = 1,255,899 : x
  2. Step 2: Convert to fraction form
    789,650/1,255,899 = 1,255,899/x
  3. Step 3: Cross multiply
    789,650x = 1,255,899 × 1,255,899
  4. Step 4: Simplify right side
    789,650x = 1,577,282,298,201
  5. Step 5: Solve for x
    x = 1,577,282,298,201/789,650
  6. Step 6: Final answer
    x = 1,997,444.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.