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Finding the Third Proportional to 811,848 and 1,153,926

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Solution

The third proportional to 811,848 and 1,153,926 is: 1,640,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,848 : 1,153,926 = 1,153,926 : x
  2. Step 2: Convert to fraction form
    811,848/1,153,926 = 1,153,926/x
  3. Step 3: Cross multiply
    811,848x = 1,153,926 × 1,153,926
  4. Step 4: Simplify right side
    811,848x = 1,331,545,213,476
  5. Step 5: Solve for x
    x = 1,331,545,213,476/811,848
  6. Step 6: Final answer
    x = 1,640,141.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.