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Finding the Third Proportional to 2,570,297.06 and 5,644,971

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Solution

The third proportional to 2,570,297.06 and 5,644,971 is: 12,397,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570,297.06 : 5,644,971 = 5,644,971 : x
  2. Step 2: Convert to fraction form
    2,570,297.06/5,644,971 = 5,644,971/x
  3. Step 3: Cross multiply
    2,570,297.06x = 5,644,971 × 5,644,971
  4. Step 4: Simplify right side
    2,570,297.06x = 31,865,697,590,841
  5. Step 5: Solve for x
    x = 31,865,697,590,841/2,570,297.06
  6. Step 6: Final answer
    x = 12,397,671.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.