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Finding the Third Proportional to 705,032 and 1,490,436

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Solution

The third proportional to 705,032 and 1,490,436 is: 3,150,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,032 : 1,490,436 = 1,490,436 : x
  2. Step 2: Convert to fraction form
    705,032/1,490,436 = 1,490,436/x
  3. Step 3: Cross multiply
    705,032x = 1,490,436 × 1,490,436
  4. Step 4: Simplify right side
    705,032x = 2,221,399,470,096
  5. Step 5: Solve for x
    x = 2,221,399,470,096/705,032
  6. Step 6: Final answer
    x = 3,150,778.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.