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Finding the Third Proportional to 931,356 and 1,984,824

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Solution

The third proportional to 931,356 and 1,984,824 is: 4,229,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,356 : 1,984,824 = 1,984,824 : x
  2. Step 2: Convert to fraction form
    931,356/1,984,824 = 1,984,824/x
  3. Step 3: Cross multiply
    931,356x = 1,984,824 × 1,984,824
  4. Step 4: Simplify right side
    931,356x = 3,939,526,310,976
  5. Step 5: Solve for x
    x = 3,939,526,310,976/931,356
  6. Step 6: Final answer
    x = 4,229,882.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.