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Finding the Third Proportional to 632,907 and 1,364,769

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Solution

The third proportional to 632,907 and 1,364,769 is: 2,942,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,907 : 1,364,769 = 1,364,769 : x
  2. Step 2: Convert to fraction form
    632,907/1,364,769 = 1,364,769/x
  3. Step 3: Cross multiply
    632,907x = 1,364,769 × 1,364,769
  4. Step 4: Simplify right side
    632,907x = 1,862,594,423,361
  5. Step 5: Solve for x
    x = 1,862,594,423,361/632,907
  6. Step 6: Final answer
    x = 2,942,919.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.