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Finding the Third Proportional to 1,503,616.50 and 3,241,971

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Solution

The third proportional to 1,503,616.50 and 3,241,971 is: 6,990,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,616.50 : 3,241,971 = 3,241,971 : x
  2. Step 2: Convert to fraction form
    1,503,616.50/3,241,971 = 3,241,971/x
  3. Step 3: Cross multiply
    1,503,616.50x = 3,241,971 × 3,241,971
  4. Step 4: Simplify right side
    1,503,616.50x = 10,510,375,964,841
  5. Step 5: Solve for x
    x = 10,510,375,964,841/1,503,616.50
  6. Step 6: Final answer
    x = 6,990,064.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.