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Finding the Third Proportional to 734,172 and 1,556,472

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Solution

The third proportional to 734,172 and 1,556,472 is: 3,299,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,172 : 1,556,472 = 1,556,472 : x
  2. Step 2: Convert to fraction form
    734,172/1,556,472 = 1,556,472/x
  3. Step 3: Cross multiply
    734,172x = 1,556,472 × 1,556,472
  4. Step 4: Simplify right side
    734,172x = 2,422,605,086,784
  5. Step 5: Solve for x
    x = 2,422,605,086,784/734,172
  6. Step 6: Final answer
    x = 3,299,778.64

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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.