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Finding the Third Proportional to 734,180 and 1,556,488

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Solution

The third proportional to 734,180 and 1,556,488 is: 3,299,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,180 : 1,556,488 = 1,556,488 : x
  2. Step 2: Convert to fraction form
    734,180/1,556,488 = 1,556,488/x
  3. Step 3: Cross multiply
    734,180x = 1,556,488 × 1,556,488
  4. Step 4: Simplify right side
    734,180x = 2,422,654,894,144
  5. Step 5: Solve for x
    x = 2,422,654,894,144/734,180
  6. Step 6: Final answer
    x = 3,299,810.53

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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.