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Finding the Third Proportional to 982,830 and 1,481,178

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Solution

The third proportional to 982,830 and 1,481,178 is: 2,232,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,830 : 1,481,178 = 1,481,178 : x
  2. Step 2: Convert to fraction form
    982,830/1,481,178 = 1,481,178/x
  3. Step 3: Cross multiply
    982,830x = 1,481,178 × 1,481,178
  4. Step 4: Simplify right side
    982,830x = 2,193,888,267,684
  5. Step 5: Solve for x
    x = 2,193,888,267,684/982,830
  6. Step 6: Final answer
    x = 2,232,215.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.