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Finding the Third Proportional to 504,456 and 1,070,400

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Solution

The third proportional to 504,456 and 1,070,400 is: 2,271,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,456 : 1,070,400 = 1,070,400 : x
  2. Step 2: Convert to fraction form
    504,456/1,070,400 = 1,070,400/x
  3. Step 3: Cross multiply
    504,456x = 1,070,400 × 1,070,400
  4. Step 4: Simplify right side
    504,456x = 1,145,756,160,000
  5. Step 5: Solve for x
    x = 1,145,756,160,000/504,456
  6. Step 6: Final answer
    x = 2,271,270.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.