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Finding the Third Proportional to 634,830 and 983,781

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Solution

The third proportional to 634,830 and 983,781 is: 1,524,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,830 : 983,781 = 983,781 : x
  2. Step 2: Convert to fraction form
    634,830/983,781 = 983,781/x
  3. Step 3: Cross multiply
    634,830x = 983,781 × 983,781
  4. Step 4: Simplify right side
    634,830x = 967,825,055,961
  5. Step 5: Solve for x
    x = 967,825,055,961/634,830
  6. Step 6: Final answer
    x = 1,524,542.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.