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Finding the Third Proportional to 643,148 and 1,414,600

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Solution

The third proportional to 643,148 and 1,414,600 is: 3,111,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,148 : 1,414,600 = 1,414,600 : x
  2. Step 2: Convert to fraction form
    643,148/1,414,600 = 1,414,600/x
  3. Step 3: Cross multiply
    643,148x = 1,414,600 × 1,414,600
  4. Step 4: Simplify right side
    643,148x = 2,001,093,160,000
  5. Step 5: Solve for x
    x = 2,001,093,160,000/643,148
  6. Step 6: Final answer
    x = 3,111,403.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.