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Finding the Third Proportional to 854,232 and 1,201,584

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Solution

The third proportional to 854,232 and 1,201,584 is: 1,690,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,232 : 1,201,584 = 1,201,584 : x
  2. Step 2: Convert to fraction form
    854,232/1,201,584 = 1,201,584/x
  3. Step 3: Cross multiply
    854,232x = 1,201,584 × 1,201,584
  4. Step 4: Simplify right side
    854,232x = 1,443,804,109,056
  5. Step 5: Solve for x
    x = 1,443,804,109,056/854,232
  6. Step 6: Final answer
    x = 1,690,177.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.