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Finding the Third Proportional to 854,931 and 1,334,156

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Solution

The third proportional to 854,931 and 1,334,156 is: 2,082,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,931 : 1,334,156 = 1,334,156 : x
  2. Step 2: Convert to fraction form
    854,931/1,334,156 = 1,334,156/x
  3. Step 3: Cross multiply
    854,931x = 1,334,156 × 1,334,156
  4. Step 4: Simplify right side
    854,931x = 1,779,972,232,336
  5. Step 5: Solve for x
    x = 1,779,972,232,336/854,931
  6. Step 6: Final answer
    x = 2,082,006.89

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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.