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Finding the Third Proportional to 845,834 and 1,268,480

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Solution

The third proportional to 845,834 and 1,268,480 is: 1,902,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,834 : 1,268,480 = 1,268,480 : x
  2. Step 2: Convert to fraction form
    845,834/1,268,480 = 1,268,480/x
  3. Step 3: Cross multiply
    845,834x = 1,268,480 × 1,268,480
  4. Step 4: Simplify right side
    845,834x = 1,609,041,510,400
  5. Step 5: Solve for x
    x = 1,609,041,510,400/845,834
  6. Step 6: Final answer
    x = 1,902,313.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.