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Finding the Third Proportional to 645,866 and 1,414,853

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Solution

The third proportional to 645,866 and 1,414,853 is: 3,099,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,866 : 1,414,853 = 1,414,853 : x
  2. Step 2: Convert to fraction form
    645,866/1,414,853 = 1,414,853/x
  3. Step 3: Cross multiply
    645,866x = 1,414,853 × 1,414,853
  4. Step 4: Simplify right side
    645,866x = 2,001,809,011,609
  5. Step 5: Solve for x
    x = 2,001,809,011,609/645,866
  6. Step 6: Final answer
    x = 3,099,418.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.