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Finding the Third Proportional to 890,320 and 1,335,224

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Solution

The third proportional to 890,320 and 1,335,224 is: 2,002,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,320 : 1,335,224 = 1,335,224 : x
  2. Step 2: Convert to fraction form
    890,320/1,335,224 = 1,335,224/x
  3. Step 3: Cross multiply
    890,320x = 1,335,224 × 1,335,224
  4. Step 4: Simplify right side
    890,320x = 1,782,823,130,176
  5. Step 5: Solve for x
    x = 1,782,823,130,176/890,320
  6. Step 6: Final answer
    x = 2,002,452.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.