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Finding the Third Proportional to 648,728 and 1,033,052

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Solution

The third proportional to 648,728 and 1,033,052 is: 1,645,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,728 : 1,033,052 = 1,033,052 : x
  2. Step 2: Convert to fraction form
    648,728/1,033,052 = 1,033,052/x
  3. Step 3: Cross multiply
    648,728x = 1,033,052 × 1,033,052
  4. Step 4: Simplify right side
    648,728x = 1,067,196,434,704
  5. Step 5: Solve for x
    x = 1,067,196,434,704/648,728
  6. Step 6: Final answer
    x = 1,645,059.92

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Why These Related Problems?

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