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Finding the Third Proportional to 2,027,988 and 4,406,304

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Solution

The third proportional to 2,027,988 and 4,406,304 is: 9,573,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,988 : 4,406,304 = 4,406,304 : x
  2. Step 2: Convert to fraction form
    2,027,988/4,406,304 = 4,406,304/x
  3. Step 3: Cross multiply
    2,027,988x = 4,406,304 × 4,406,304
  4. Step 4: Simplify right side
    2,027,988x = 19,415,514,940,416
  5. Step 5: Solve for x
    x = 19,415,514,940,416/2,027,988
  6. Step 6: Final answer
    x = 9,573,781.97

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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.