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Finding the Third Proportional to 854,910 and 1,329,033

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Solution

The third proportional to 854,910 and 1,329,033 is: 2,066,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,910 : 1,329,033 = 1,329,033 : x
  2. Step 2: Convert to fraction form
    854,910/1,329,033 = 1,329,033/x
  3. Step 3: Cross multiply
    854,910x = 1,329,033 × 1,329,033
  4. Step 4: Simplify right side
    854,910x = 1,766,328,715,089
  5. Step 5: Solve for x
    x = 1,766,328,715,089/854,910
  6. Step 6: Final answer
    x = 2,066,099.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.