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Finding the Third Proportional to 854,922 and 1,334,142

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Solution

The third proportional to 854,922 and 1,334,142 is: 2,081,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,922 : 1,334,142 = 1,334,142 : x
  2. Step 2: Convert to fraction form
    854,922/1,334,142 = 1,334,142/x
  3. Step 3: Cross multiply
    854,922x = 1,334,142 × 1,334,142
  4. Step 4: Simplify right side
    854,922x = 1,779,934,876,164
  5. Step 5: Solve for x
    x = 1,779,934,876,164/854,922
  6. Step 6: Final answer
    x = 2,081,985.11

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