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Finding the Third Proportional to 812,565 and 1,750,005

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Solution

The third proportional to 812,565 and 1,750,005 is: 3,768,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,565 : 1,750,005 = 1,750,005 : x
  2. Step 2: Convert to fraction form
    812,565/1,750,005 = 1,750,005/x
  3. Step 3: Cross multiply
    812,565x = 1,750,005 × 1,750,005
  4. Step 4: Simplify right side
    812,565x = 3,062,517,500,025
  5. Step 5: Solve for x
    x = 3,062,517,500,025/812,565
  6. Step 6: Final answer
    x = 3,768,950.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.