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Finding the Third Proportional to 484,954 and 1,047,344

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Solution

The third proportional to 484,954 and 1,047,344 is: 2,261,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,954 : 1,047,344 = 1,047,344 : x
  2. Step 2: Convert to fraction form
    484,954/1,047,344 = 1,047,344/x
  3. Step 3: Cross multiply
    484,954x = 1,047,344 × 1,047,344
  4. Step 4: Simplify right side
    484,954x = 1,096,929,454,336
  5. Step 5: Solve for x
    x = 1,096,929,454,336/484,954
  6. Step 6: Final answer
    x = 2,261,924.75

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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.