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Finding the Third Proportional to 734,194 and 1,556,516

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Solution

The third proportional to 734,194 and 1,556,516 is: 3,299,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,194 : 1,556,516 = 1,556,516 : x
  2. Step 2: Convert to fraction form
    734,194/1,556,516 = 1,556,516/x
  3. Step 3: Cross multiply
    734,194x = 1,556,516 × 1,556,516
  4. Step 4: Simplify right side
    734,194x = 2,422,742,058,256
  5. Step 5: Solve for x
    x = 2,422,742,058,256/734,194
  6. Step 6: Final answer
    x = 3,299,866.33

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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.