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Finding the Third Proportional to 2,857,610 and 4,353,411

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Solution

The third proportional to 2,857,610 and 4,353,411 is: 6,632,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,610 : 4,353,411 = 4,353,411 : x
  2. Step 2: Convert to fraction form
    2,857,610/4,353,411 = 4,353,411/x
  3. Step 3: Cross multiply
    2,857,610x = 4,353,411 × 4,353,411
  4. Step 4: Simplify right side
    2,857,610x = 18,952,187,334,921
  5. Step 5: Solve for x
    x = 18,952,187,334,921/2,857,610
  6. Step 6: Final answer
    x = 6,632,181.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.