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Finding the Third Proportional to 948,402 and 1,809,324

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Solution

The third proportional to 948,402 and 1,809,324 is: 3,451,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,402 : 1,809,324 = 1,809,324 : x
  2. Step 2: Convert to fraction form
    948,402/1,809,324 = 1,809,324/x
  3. Step 3: Cross multiply
    948,402x = 1,809,324 × 1,809,324
  4. Step 4: Simplify right side
    948,402x = 3,273,653,336,976
  5. Step 5: Solve for x
    x = 3,273,653,336,976/948,402
  6. Step 6: Final answer
    x = 3,451,757.10

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.