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Finding the Third Proportional to 435,813 and 948,819

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Solution

The third proportional to 435,813 and 948,819 is: 2,065,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,813 : 948,819 = 948,819 : x
  2. Step 2: Convert to fraction form
    435,813/948,819 = 948,819/x
  3. Step 3: Cross multiply
    435,813x = 948,819 × 948,819
  4. Step 4: Simplify right side
    435,813x = 900,257,494,761
  5. Step 5: Solve for x
    x = 900,257,494,761/435,813
  6. Step 6: Final answer
    x = 2,065,696.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.