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Finding the Third Proportional to 675,128 and 1,017,012

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Solution

The third proportional to 675,128 and 1,017,012 is: 1,532,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,128 : 1,017,012 = 1,017,012 : x
  2. Step 2: Convert to fraction form
    675,128/1,017,012 = 1,017,012/x
  3. Step 3: Cross multiply
    675,128x = 1,017,012 × 1,017,012
  4. Step 4: Simplify right side
    675,128x = 1,034,313,408,144
  5. Step 5: Solve for x
    x = 1,034,313,408,144/675,128
  6. Step 6: Final answer
    x = 1,532,025.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.