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Finding the Third Proportional to 970,014.23 and 2,105,072.93

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Solution

The third proportional to 970,014.23 and 2,105,072.93 is: 4,568,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,014.23 : 2,105,072.93 = 2,105,072.93 : x
  2. Step 2: Convert to fraction form
    970,014.23/2,105,072.93 = 2,105,072.93/x
  3. Step 3: Cross multiply
    970,014.23x = 2,105,072.93 × 2,105,072.93
  4. Step 4: Simplify right side
    970,014.23x = 4,431,332,039,303.11
  5. Step 5: Solve for x
    x = 4,431,332,039,303.11/970,014.23
  6. Step 6: Final answer
    x = 4,568,316.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.