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Finding the Third Proportional to 2,073,984 and 4,313,514

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Solution

The third proportional to 2,073,984 and 4,313,514 is: 8,971,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,984 : 4,313,514 = 4,313,514 : x
  2. Step 2: Convert to fraction form
    2,073,984/4,313,514 = 4,313,514/x
  3. Step 3: Cross multiply
    2,073,984x = 4,313,514 × 4,313,514
  4. Step 4: Simplify right side
    2,073,984x = 18,606,403,028,196
  5. Step 5: Solve for x
    x = 18,606,403,028,196/2,073,984
  6. Step 6: Final answer
    x = 8,971,333.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.