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Finding the Third Proportional to 2,129,894 and 4,632,952

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Solution

The third proportional to 2,129,894 and 4,632,952 is: 10,077,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,894 : 4,632,952 = 4,632,952 : x
  2. Step 2: Convert to fraction form
    2,129,894/4,632,952 = 4,632,952/x
  3. Step 3: Cross multiply
    2,129,894x = 4,632,952 × 4,632,952
  4. Step 4: Simplify right side
    2,129,894x = 21,464,244,234,304
  5. Step 5: Solve for x
    x = 21,464,244,234,304/2,129,894
  6. Step 6: Final answer
    x = 10,077,611.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.