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Finding the Third Proportional to 828,580 and 1,795,400

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Solution

The third proportional to 828,580 and 1,795,400 is: 3,890,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,580 : 1,795,400 = 1,795,400 : x
  2. Step 2: Convert to fraction form
    828,580/1,795,400 = 1,795,400/x
  3. Step 3: Cross multiply
    828,580x = 1,795,400 × 1,795,400
  4. Step 4: Simplify right side
    828,580x = 3,223,461,160,000
  5. Step 5: Solve for x
    x = 3,223,461,160,000/828,580
  6. Step 6: Final answer
    x = 3,890,343.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.