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Finding the Third Proportional to 734,016 and 1,556,240

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Solution

The third proportional to 734,016 and 1,556,240 is: 3,299,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,016 : 1,556,240 = 1,556,240 : x
  2. Step 2: Convert to fraction form
    734,016/1,556,240 = 1,556,240/x
  3. Step 3: Cross multiply
    734,016x = 1,556,240 × 1,556,240
  4. Step 4: Simplify right side
    734,016x = 2,421,882,937,600
  5. Step 5: Solve for x
    x = 2,421,882,937,600/734,016
  6. Step 6: Final answer
    x = 3,299,496.11

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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.