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Finding the Third Proportional to 495,851.50 and 1,017,839

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Solution

The third proportional to 495,851.50 and 1,017,839 is: 2,089,327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,851.50 : 1,017,839 = 1,017,839 : x
  2. Step 2: Convert to fraction form
    495,851.50/1,017,839 = 1,017,839/x
  3. Step 3: Cross multiply
    495,851.50x = 1,017,839 × 1,017,839
  4. Step 4: Simplify right side
    495,851.50x = 1,035,996,229,921
  5. Step 5: Solve for x
    x = 1,035,996,229,921/495,851.50
  6. Step 6: Final answer
    x = 2,089,327.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.