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Finding the Third Proportional to 727,932 and 1,575,096

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Solution

The third proportional to 727,932 and 1,575,096 is: 3,408,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,932 : 1,575,096 = 1,575,096 : x
  2. Step 2: Convert to fraction form
    727,932/1,575,096 = 1,575,096/x
  3. Step 3: Cross multiply
    727,932x = 1,575,096 × 1,575,096
  4. Step 4: Simplify right side
    727,932x = 2,480,927,409,216
  5. Step 5: Solve for x
    x = 2,480,927,409,216/727,932
  6. Step 6: Final answer
    x = 3,408,185.67

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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.