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Finding the Third Proportional to 970,867.59 and 1,456,301.53

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Solution

The third proportional to 970,867.59 and 1,456,301.53 is: 2,184,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,867.59 : 1,456,301.53 = 1,456,301.53 : x
  2. Step 2: Convert to fraction form
    970,867.59/1,456,301.53 = 1,456,301.53/x
  3. Step 3: Cross multiply
    970,867.59x = 1,456,301.53 × 1,456,301.53
  4. Step 4: Simplify right side
    970,867.59x = 2,120,814,149,921.09
  5. Step 5: Solve for x
    x = 2,120,814,149,921.09/970,867.59
  6. Step 6: Final answer
    x = 2,184,452.51

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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.