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Finding the Third Proportional to 422,724 and 936,594

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Solution

The third proportional to 422,724 and 936,594 is: 2,075,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,724 : 936,594 = 936,594 : x
  2. Step 2: Convert to fraction form
    422,724/936,594 = 936,594/x
  3. Step 3: Cross multiply
    422,724x = 936,594 × 936,594
  4. Step 4: Simplify right side
    422,724x = 877,208,320,836
  5. Step 5: Solve for x
    x = 877,208,320,836/422,724
  6. Step 6: Final answer
    x = 2,075,132.52

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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.