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Finding the Third Proportional to 591,368 and 1,271,296

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Solution

The third proportional to 591,368 and 1,271,296 is: 2,732,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,368 : 1,271,296 = 1,271,296 : x
  2. Step 2: Convert to fraction form
    591,368/1,271,296 = 1,271,296/x
  3. Step 3: Cross multiply
    591,368x = 1,271,296 × 1,271,296
  4. Step 4: Simplify right side
    591,368x = 1,616,193,519,616
  5. Step 5: Solve for x
    x = 1,616,193,519,616/591,368
  6. Step 6: Final answer
    x = 2,732,974.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.