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Finding the Third Proportional to 970,573.50 and 2,101,794.75

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Solution

The third proportional to 970,573.50 and 2,101,794.75 is: 4,551,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,573.50 : 2,101,794.75 = 2,101,794.75 : x
  2. Step 2: Convert to fraction form
    970,573.50/2,101,794.75 = 2,101,794.75/x
  3. Step 3: Cross multiply
    970,573.50x = 2,101,794.75 × 2,101,794.75
  4. Step 4: Simplify right side
    970,573.50x = 4,417,541,171,127.56
  5. Step 5: Solve for x
    x = 4,417,541,171,127.56/970,573.50
  6. Step 6: Final answer
    x = 4,551,475.15

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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.