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Finding the Third Proportional to 921,616 and 1,317,912

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Solution

The third proportional to 921,616 and 1,317,912 is: 1,884,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,616 : 1,317,912 = 1,317,912 : x
  2. Step 2: Convert to fraction form
    921,616/1,317,912 = 1,317,912/x
  3. Step 3: Cross multiply
    921,616x = 1,317,912 × 1,317,912
  4. Step 4: Simplify right side
    921,616x = 1,736,892,039,744
  5. Step 5: Solve for x
    x = 1,736,892,039,744/921,616
  6. Step 6: Final answer
    x = 1,884,615.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.