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Finding the Third Proportional to 425,693 and 917,824

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Solution

The third proportional to 425,693 and 917,824 is: 1,978,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,693 : 917,824 = 917,824 : x
  2. Step 2: Convert to fraction form
    425,693/917,824 = 917,824/x
  3. Step 3: Cross multiply
    425,693x = 917,824 × 917,824
  4. Step 4: Simplify right side
    425,693x = 842,400,894,976
  5. Step 5: Solve for x
    x = 842,400,894,976/425,693
  6. Step 6: Final answer
    x = 1,978,892.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.