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Finding the Third Proportional to 893,893 and 1,954,895

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Solution

The third proportional to 893,893 and 1,954,895 is: 4,275,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,893 : 1,954,895 = 1,954,895 : x
  2. Step 2: Convert to fraction form
    893,893/1,954,895 = 1,954,895/x
  3. Step 3: Cross multiply
    893,893x = 1,954,895 × 1,954,895
  4. Step 4: Simplify right side
    893,893x = 3,821,614,461,025
  5. Step 5: Solve for x
    x = 3,821,614,461,025/893,893
  6. Step 6: Final answer
    x = 4,275,248.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.