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Finding the Third Proportional to 599,482 and 1,283,984

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Solution

The third proportional to 599,482 and 1,283,984 is: 2,750,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,482 : 1,283,984 = 1,283,984 : x
  2. Step 2: Convert to fraction form
    599,482/1,283,984 = 1,283,984/x
  3. Step 3: Cross multiply
    599,482x = 1,283,984 × 1,283,984
  4. Step 4: Simplify right side
    599,482x = 1,648,614,912,256
  5. Step 5: Solve for x
    x = 1,648,614,912,256/599,482
  6. Step 6: Final answer
    x = 2,750,065.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.