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Finding the Third Proportional to 484,074 and 989,532

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Solution

The third proportional to 484,074 and 989,532 is: 2,022,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,074 : 989,532 = 989,532 : x
  2. Step 2: Convert to fraction form
    484,074/989,532 = 989,532/x
  3. Step 3: Cross multiply
    484,074x = 989,532 × 989,532
  4. Step 4: Simplify right side
    484,074x = 979,173,579,024
  5. Step 5: Solve for x
    x = 979,173,579,024/484,074
  6. Step 6: Final answer
    x = 2,022,776.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.