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Finding the Third Proportional to 854,926 and 1,329,058

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Solution

The third proportional to 854,926 and 1,329,058 is: 2,066,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,926 : 1,329,058 = 1,329,058 : x
  2. Step 2: Convert to fraction form
    854,926/1,329,058 = 1,329,058/x
  3. Step 3: Cross multiply
    854,926x = 1,329,058 × 1,329,058
  4. Step 4: Simplify right side
    854,926x = 1,766,395,167,364
  5. Step 5: Solve for x
    x = 1,766,395,167,364/854,926
  6. Step 6: Final answer
    x = 2,066,138.08

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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.