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Finding the Third Proportional to 691,632 and 1,012,512

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Solution

The third proportional to 691,632 and 1,012,512 is: 1,482,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,632 : 1,012,512 = 1,012,512 : x
  2. Step 2: Convert to fraction form
    691,632/1,012,512 = 1,012,512/x
  3. Step 3: Cross multiply
    691,632x = 1,012,512 × 1,012,512
  4. Step 4: Simplify right side
    691,632x = 1,025,180,550,144
  5. Step 5: Solve for x
    x = 1,025,180,550,144/691,632
  6. Step 6: Final answer
    x = 1,482,263.04

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.