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Finding the Third Proportional to 854,774 and 1,353,513

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Solution

The third proportional to 854,774 and 1,353,513 is: 2,143,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,774 : 1,353,513 = 1,353,513 : x
  2. Step 2: Convert to fraction form
    854,774/1,353,513 = 1,353,513/x
  3. Step 3: Cross multiply
    854,774x = 1,353,513 × 1,353,513
  4. Step 4: Simplify right side
    854,774x = 1,831,997,441,169
  5. Step 5: Solve for x
    x = 1,831,997,441,169/854,774
  6. Step 6: Final answer
    x = 2,143,253.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.