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Finding the Third Proportional to 854,923 and 1,334,143

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Solution

The third proportional to 854,923 and 1,334,143 is: 2,081,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,923 : 1,334,143 = 1,334,143 : x
  2. Step 2: Convert to fraction form
    854,923/1,334,143 = 1,334,143/x
  3. Step 3: Cross multiply
    854,923x = 1,334,143 × 1,334,143
  4. Step 4: Simplify right side
    854,923x = 1,779,937,544,449
  5. Step 5: Solve for x
    x = 1,779,937,544,449/854,923
  6. Step 6: Final answer
    x = 2,081,985.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.