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Finding the Third Proportional to 1,896,890 and 2,845,407

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Solution

The third proportional to 1,896,890 and 2,845,407 is: 4,268,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896,890 : 2,845,407 = 2,845,407 : x
  2. Step 2: Convert to fraction form
    1,896,890/2,845,407 = 2,845,407/x
  3. Step 3: Cross multiply
    1,896,890x = 2,845,407 × 2,845,407
  4. Step 4: Simplify right side
    1,896,890x = 8,096,340,995,649
  5. Step 5: Solve for x
    x = 8,096,340,995,649/1,896,890
  6. Step 6: Final answer
    x = 4,268,218.50

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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.