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Finding the Third Proportional to 810,317.67 and 1,736,164.76

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Solution

The third proportional to 810,317.67 and 1,736,164.76 is: 3,719,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,317.67 : 1,736,164.76 = 1,736,164.76 : x
  2. Step 2: Convert to fraction form
    810,317.67/1,736,164.76 = 1,736,164.76/x
  3. Step 3: Cross multiply
    810,317.67x = 1,736,164.76 × 1,736,164.76
  4. Step 4: Simplify right side
    810,317.67x = 3,014,268,066,270.14
  5. Step 5: Solve for x
    x = 3,014,268,066,270.14/810,317.67
  6. Step 6: Final answer
    x = 3,719,859.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.