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Finding the Third Proportional to 634,824 and 983,772

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Solution

The third proportional to 634,824 and 983,772 is: 1,524,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,824 : 983,772 = 983,772 : x
  2. Step 2: Convert to fraction form
    634,824/983,772 = 983,772/x
  3. Step 3: Cross multiply
    634,824x = 983,772 × 983,772
  4. Step 4: Simplify right side
    634,824x = 967,807,347,984
  5. Step 5: Solve for x
    x = 967,807,347,984/634,824
  6. Step 6: Final answer
    x = 1,524,528.61

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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.