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Finding the Third Proportional to 425,177 and 925,083

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Solution

The third proportional to 425,177 and 925,083 is: 2,012,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,177 : 925,083 = 925,083 : x
  2. Step 2: Convert to fraction form
    425,177/925,083 = 925,083/x
  3. Step 3: Cross multiply
    425,177x = 925,083 × 925,083
  4. Step 4: Simplify right side
    425,177x = 855,778,556,889
  5. Step 5: Solve for x
    x = 855,778,556,889/425,177
  6. Step 6: Final answer
    x = 2,012,758.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.