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Finding the Third Proportional to 869,181.75 and 1,278,644.06

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Solution

The third proportional to 869,181.75 and 1,278,644.06 is: 1,880,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,181.75 : 1,278,644.06 = 1,278,644.06 : x
  2. Step 2: Convert to fraction form
    869,181.75/1,278,644.06 = 1,278,644.06/x
  3. Step 3: Cross multiply
    869,181.75x = 1,278,644.06 × 1,278,644.06
  4. Step 4: Simplify right side
    869,181.75x = 1,634,930,638,566.50
  5. Step 5: Solve for x
    x = 1,634,930,638,566.50/869,181.75
  6. Step 6: Final answer
    x = 1,880,999.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.