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Finding the Third Proportional to 742,254 and 1,654,500

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Solution

The third proportional to 742,254 and 1,654,500 is: 3,687,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,254 : 1,654,500 = 1,654,500 : x
  2. Step 2: Convert to fraction form
    742,254/1,654,500 = 1,654,500/x
  3. Step 3: Cross multiply
    742,254x = 1,654,500 × 1,654,500
  4. Step 4: Simplify right side
    742,254x = 2,737,370,250,000
  5. Step 5: Solve for x
    x = 2,737,370,250,000/742,254
  6. Step 6: Final answer
    x = 3,687,915.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.