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Finding the Third Proportional to 938,635 and 1,454,069

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Solution

The third proportional to 938,635 and 1,454,069 is: 2,252,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,635 : 1,454,069 = 1,454,069 : x
  2. Step 2: Convert to fraction form
    938,635/1,454,069 = 1,454,069/x
  3. Step 3: Cross multiply
    938,635x = 1,454,069 × 1,454,069
  4. Step 4: Simplify right side
    938,635x = 2,114,316,656,761
  5. Step 5: Solve for x
    x = 2,114,316,656,761/938,635
  6. Step 6: Final answer
    x = 2,252,544.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.