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Finding the Third Proportional to 632,520 and 1,005,984

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Solution

The third proportional to 632,520 and 1,005,984 is: 1,599,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,520 : 1,005,984 = 1,005,984 : x
  2. Step 2: Convert to fraction form
    632,520/1,005,984 = 1,005,984/x
  3. Step 3: Cross multiply
    632,520x = 1,005,984 × 1,005,984
  4. Step 4: Simplify right side
    632,520x = 1,012,003,808,256
  5. Step 5: Solve for x
    x = 1,012,003,808,256/632,520
  6. Step 6: Final answer
    x = 1,599,955.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.