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Finding the Third Proportional to 2,611,971 and 3,957,459.75

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Solution

The third proportional to 2,611,971 and 3,957,459.75 is: 5,996,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611,971 : 3,957,459.75 = 3,957,459.75 : x
  2. Step 2: Convert to fraction form
    2,611,971/3,957,459.75 = 3,957,459.75/x
  3. Step 3: Cross multiply
    2,611,971x = 3,957,459.75 × 3,957,459.75
  4. Step 4: Simplify right side
    2,611,971x = 15,661,487,672,870.06
  5. Step 5: Solve for x
    x = 15,661,487,672,870.06/2,611,971
  6. Step 6: Final answer
    x = 5,996,041.94

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Why These Related Problems?

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