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Finding the Third Proportional to 639,124 and 1,017,464

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Solution

The third proportional to 639,124 and 1,017,464 is: 1,619,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,124 : 1,017,464 = 1,017,464 : x
  2. Step 2: Convert to fraction form
    639,124/1,017,464 = 1,017,464/x
  3. Step 3: Cross multiply
    639,124x = 1,017,464 × 1,017,464
  4. Step 4: Simplify right side
    639,124x = 1,035,232,991,296
  5. Step 5: Solve for x
    x = 1,035,232,991,296/639,124
  6. Step 6: Final answer
    x = 1,619,768.61

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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.