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Finding the Third Proportional to 444,478 and 973,278

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Solution

The third proportional to 444,478 and 973,278 is: 2,131,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,478 : 973,278 = 973,278 : x
  2. Step 2: Convert to fraction form
    444,478/973,278 = 973,278/x
  3. Step 3: Cross multiply
    444,478x = 973,278 × 973,278
  4. Step 4: Simplify right side
    444,478x = 947,270,065,284
  5. Step 5: Solve for x
    x = 947,270,065,284/444,478
  6. Step 6: Final answer
    x = 2,131,196.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.