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Finding the Third Proportional to 854,952 and 1,334,184

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Solution

The third proportional to 854,952 and 1,334,184 is: 2,082,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,952 : 1,334,184 = 1,334,184 : x
  2. Step 2: Convert to fraction form
    854,952/1,334,184 = 1,334,184/x
  3. Step 3: Cross multiply
    854,952x = 1,334,184 × 1,334,184
  4. Step 4: Simplify right side
    854,952x = 1,780,046,945,856
  5. Step 5: Solve for x
    x = 1,780,046,945,856/854,952
  6. Step 6: Final answer
    x = 2,082,043.14

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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.