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Finding the Third Proportional to 942,945 and 2,035,252.50

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Solution

The third proportional to 942,945 and 2,035,252.50 is: 4,392,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,945 : 2,035,252.50 = 2,035,252.50 : x
  2. Step 2: Convert to fraction form
    942,945/2,035,252.50 = 2,035,252.50/x
  3. Step 3: Cross multiply
    942,945x = 2,035,252.50 × 2,035,252.50
  4. Step 4: Simplify right side
    942,945x = 4,142,252,738,756.25
  5. Step 5: Solve for x
    x = 4,142,252,738,756.25/942,945
  6. Step 6: Final answer
    x = 4,392,889.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.