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Finding the Third Proportional to 1,070,524.50 and 2,353,971

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Solution

The third proportional to 1,070,524.50 and 2,353,971 is: 5,176,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,524.50 : 2,353,971 = 2,353,971 : x
  2. Step 2: Convert to fraction form
    1,070,524.50/2,353,971 = 2,353,971/x
  3. Step 3: Cross multiply
    1,070,524.50x = 2,353,971 × 2,353,971
  4. Step 4: Simplify right side
    1,070,524.50x = 5,541,179,468,841
  5. Step 5: Solve for x
    x = 5,541,179,468,841/1,070,524.50
  6. Step 6: Final answer
    x = 5,176,135.13

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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.