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Finding the Third Proportional to 727,928 and 1,575,088

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Solution

The third proportional to 727,928 and 1,575,088 is: 3,408,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,928 : 1,575,088 = 1,575,088 : x
  2. Step 2: Convert to fraction form
    727,928/1,575,088 = 1,575,088/x
  3. Step 3: Cross multiply
    727,928x = 1,575,088 × 1,575,088
  4. Step 4: Simplify right side
    727,928x = 2,480,902,207,744
  5. Step 5: Solve for x
    x = 2,480,902,207,744/727,928
  6. Step 6: Final answer
    x = 3,408,169.77

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