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Finding the Third Proportional to 738,150 and 1,594,668

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Solution

The third proportional to 738,150 and 1,594,668 is: 3,445,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,150 : 1,594,668 = 1,594,668 : x
  2. Step 2: Convert to fraction form
    738,150/1,594,668 = 1,594,668/x
  3. Step 3: Cross multiply
    738,150x = 1,594,668 × 1,594,668
  4. Step 4: Simplify right side
    738,150x = 2,542,966,030,224
  5. Step 5: Solve for x
    x = 2,542,966,030,224/738,150
  6. Step 6: Final answer
    x = 3,445,053.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.