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Finding the Third Proportional to 883,848 and 1,382,620

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Solution

The third proportional to 883,848 and 1,382,620 is: 2,162,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,848 : 1,382,620 = 1,382,620 : x
  2. Step 2: Convert to fraction form
    883,848/1,382,620 = 1,382,620/x
  3. Step 3: Cross multiply
    883,848x = 1,382,620 × 1,382,620
  4. Step 4: Simplify right side
    883,848x = 1,911,638,064,400
  5. Step 5: Solve for x
    x = 1,911,638,064,400/883,848
  6. Step 6: Final answer
    x = 2,162,858.39

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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.