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Finding the Third Proportional to 422,526 and 939,507

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Solution

The third proportional to 422,526 and 939,507 is: 2,089,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,526 : 939,507 = 939,507 : x
  2. Step 2: Convert to fraction form
    422,526/939,507 = 939,507/x
  3. Step 3: Cross multiply
    422,526x = 939,507 × 939,507
  4. Step 4: Simplify right side
    422,526x = 882,673,403,049
  5. Step 5: Solve for x
    x = 882,673,403,049/422,526
  6. Step 6: Final answer
    x = 2,089,039.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.