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Finding the Third Proportional to 426,546 and 933,444

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Solution

The third proportional to 426,546 and 933,444 is: 2,042,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,546 : 933,444 = 933,444 : x
  2. Step 2: Convert to fraction form
    426,546/933,444 = 933,444/x
  3. Step 3: Cross multiply
    426,546x = 933,444 × 933,444
  4. Step 4: Simplify right side
    426,546x = 871,317,701,136
  5. Step 5: Solve for x
    x = 871,317,701,136/426,546
  6. Step 6: Final answer
    x = 2,042,728.57

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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.