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Finding the Third Proportional to 435,796 and 941,617

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Solution

The third proportional to 435,796 and 941,617 is: 2,034,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,796 : 941,617 = 941,617 : x
  2. Step 2: Convert to fraction form
    435,796/941,617 = 941,617/x
  3. Step 3: Cross multiply
    435,796x = 941,617 × 941,617
  4. Step 4: Simplify right side
    435,796x = 886,642,574,689
  5. Step 5: Solve for x
    x = 886,642,574,689/435,796
  6. Step 6: Final answer
    x = 2,034,535.83

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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.