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Finding the Third Proportional to 648,738 and 1,033,065

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Solution

The third proportional to 648,738 and 1,033,065 is: 1,645,075.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,738 : 1,033,065 = 1,033,065 : x
  2. Step 2: Convert to fraction form
    648,738/1,033,065 = 1,033,065/x
  3. Step 3: Cross multiply
    648,738x = 1,033,065 × 1,033,065
  4. Step 4: Simplify right side
    648,738x = 1,067,223,294,225
  5. Step 5: Solve for x
    x = 1,067,223,294,225/648,738
  6. Step 6: Final answer
    x = 1,645,075.97

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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.