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Finding the Third Proportional to 704,096 and 1,660,480

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Solution

The third proportional to 704,096 and 1,660,480 is: 3,915,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,096 : 1,660,480 = 1,660,480 : x
  2. Step 2: Convert to fraction form
    704,096/1,660,480 = 1,660,480/x
  3. Step 3: Cross multiply
    704,096x = 1,660,480 × 1,660,480
  4. Step 4: Simplify right side
    704,096x = 2,757,193,830,400
  5. Step 5: Solve for x
    x = 2,757,193,830,400/704,096
  6. Step 6: Final answer
    x = 3,915,934.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.