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Finding the Third Proportional to 2,563,659 and 5,603,721

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Solution

The third proportional to 2,563,659 and 5,603,721 is: 12,248,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,659 : 5,603,721 = 5,603,721 : x
  2. Step 2: Convert to fraction form
    2,563,659/5,603,721 = 5,603,721/x
  3. Step 3: Cross multiply
    2,563,659x = 5,603,721 × 5,603,721
  4. Step 4: Simplify right side
    2,563,659x = 31,401,689,045,841
  5. Step 5: Solve for x
    x = 31,401,689,045,841/2,563,659
  6. Step 6: Final answer
    x = 12,248,777.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.