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Finding the Third Proportional to 426,544 and 933,440

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Solution

The third proportional to 426,544 and 933,440 is: 2,042,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,544 : 933,440 = 933,440 : x
  2. Step 2: Convert to fraction form
    426,544/933,440 = 933,440/x
  3. Step 3: Cross multiply
    426,544x = 933,440 × 933,440
  4. Step 4: Simplify right side
    426,544x = 871,310,233,600
  5. Step 5: Solve for x
    x = 871,310,233,600/426,544
  6. Step 6: Final answer
    x = 2,042,720.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.