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Finding the Third Proportional to 641,984 and 1,518,221

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Solution

The third proportional to 641,984 and 1,518,221 is: 3,590,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,984 : 1,518,221 = 1,518,221 : x
  2. Step 2: Convert to fraction form
    641,984/1,518,221 = 1,518,221/x
  3. Step 3: Cross multiply
    641,984x = 1,518,221 × 1,518,221
  4. Step 4: Simplify right side
    641,984x = 2,304,995,004,841
  5. Step 5: Solve for x
    x = 2,304,995,004,841/641,984
  6. Step 6: Final answer
    x = 3,590,424.38

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.