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Finding the Third Proportional to 970,047.56 and 2,002,357.13

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Solution

The third proportional to 970,047.56 and 2,002,357.13 is: 4,133,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,047.56 : 2,002,357.13 = 2,002,357.13 : x
  2. Step 2: Convert to fraction form
    970,047.56/2,002,357.13 = 2,002,357.13/x
  3. Step 3: Cross multiply
    970,047.56x = 2,002,357.13 × 2,002,357.13
  4. Step 4: Simplify right side
    970,047.56x = 4,009,434,056,038.27
  5. Step 5: Solve for x
    x = 4,009,434,056,038.27/970,047.56
  6. Step 6: Final answer
    x = 4,133,234.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.