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Finding the Third Proportional to 891,702 and 1,922,724

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Solution

The third proportional to 891,702 and 1,922,724 is: 4,145,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,702 : 1,922,724 = 1,922,724 : x
  2. Step 2: Convert to fraction form
    891,702/1,922,724 = 1,922,724/x
  3. Step 3: Cross multiply
    891,702x = 1,922,724 × 1,922,724
  4. Step 4: Simplify right side
    891,702x = 3,696,867,580,176
  5. Step 5: Solve for x
    x = 3,696,867,580,176/891,702
  6. Step 6: Final answer
    x = 4,145,855.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.