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Finding the Third Proportional to 2,099,770 and 4,496,952

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Solution

The third proportional to 2,099,770 and 4,496,952 is: 9,630,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,770 : 4,496,952 = 4,496,952 : x
  2. Step 2: Convert to fraction form
    2,099,770/4,496,952 = 4,496,952/x
  3. Step 3: Cross multiply
    2,099,770x = 4,496,952 × 4,496,952
  4. Step 4: Simplify right side
    2,099,770x = 20,222,577,290,304
  5. Step 5: Solve for x
    x = 20,222,577,290,304/2,099,770
  6. Step 6: Final answer
    x = 9,630,853.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.