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Finding the Third Proportional to 424,669 and 920,186

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Solution

The third proportional to 424,669 and 920,186 is: 1,993,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,669 : 920,186 = 920,186 : x
  2. Step 2: Convert to fraction form
    424,669/920,186 = 920,186/x
  3. Step 3: Cross multiply
    424,669x = 920,186 × 920,186
  4. Step 4: Simplify right side
    424,669x = 846,742,274,596
  5. Step 5: Solve for x
    x = 846,742,274,596/424,669
  6. Step 6: Final answer
    x = 1,993,887.65

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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.