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Finding the Third Proportional to 970,867.78 and 1,456,301.81

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Solution

The third proportional to 970,867.78 and 1,456,301.81 is: 2,184,452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,867.78 : 1,456,301.81 = 1,456,301.81 : x
  2. Step 2: Convert to fraction form
    970,867.78/1,456,301.81 = 1,456,301.81/x
  3. Step 3: Cross multiply
    970,867.78x = 1,456,301.81 × 1,456,301.81
  4. Step 4: Simplify right side
    970,867.78x = 2,120,814,969,090.79
  5. Step 5: Solve for x
    x = 2,120,814,969,090.79/970,867.78
  6. Step 6: Final answer
    x = 2,184,452.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.