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Finding the Third Proportional to 942,930 and 2,035,224

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Solution

The third proportional to 942,930 and 2,035,224 is: 4,392,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,930 : 2,035,224 = 2,035,224 : x
  2. Step 2: Convert to fraction form
    942,930/2,035,224 = 2,035,224/x
  3. Step 3: Cross multiply
    942,930x = 2,035,224 × 2,035,224
  4. Step 4: Simplify right side
    942,930x = 4,142,136,730,176
  5. Step 5: Solve for x
    x = 4,142,136,730,176/942,930
  6. Step 6: Final answer
    x = 4,392,835.87

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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.