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Finding the Third Proportional to 905,585 and 1,968,418

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Solution

The third proportional to 905,585 and 1,968,418 is: 4,278,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,585 : 1,968,418 = 1,968,418 : x
  2. Step 2: Convert to fraction form
    905,585/1,968,418 = 1,968,418/x
  3. Step 3: Cross multiply
    905,585x = 1,968,418 × 1,968,418
  4. Step 4: Simplify right side
    905,585x = 3,874,669,422,724
  5. Step 5: Solve for x
    x = 3,874,669,422,724/905,585
  6. Step 6: Final answer
    x = 4,278,636.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.