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Finding the Third Proportional to 648,735 and 1,033,063

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Solution

The third proportional to 648,735 and 1,033,063 is: 1,645,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,735 : 1,033,063 = 1,033,063 : x
  2. Step 2: Convert to fraction form
    648,735/1,033,063 = 1,033,063/x
  3. Step 3: Cross multiply
    648,735x = 1,033,063 × 1,033,063
  4. Step 4: Simplify right side
    648,735x = 1,067,219,161,969
  5. Step 5: Solve for x
    x = 1,067,219,161,969/648,735
  6. Step 6: Final answer
    x = 1,645,077.21

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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.