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Finding the Third Proportional to 948,302 and 1,416,834

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Solution

The third proportional to 948,302 and 1,416,834 is: 2,116,855.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,302 : 1,416,834 = 1,416,834 : x
  2. Step 2: Convert to fraction form
    948,302/1,416,834 = 1,416,834/x
  3. Step 3: Cross multiply
    948,302x = 1,416,834 × 1,416,834
  4. Step 4: Simplify right side
    948,302x = 2,007,418,583,556
  5. Step 5: Solve for x
    x = 2,007,418,583,556/948,302
  6. Step 6: Final answer
    x = 2,116,855.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.