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Finding the Third Proportional to 727,926 and 1,575,084

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Solution

The third proportional to 727,926 and 1,575,084 is: 3,408,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,926 : 1,575,084 = 1,575,084 : x
  2. Step 2: Convert to fraction form
    727,926/1,575,084 = 1,575,084/x
  3. Step 3: Cross multiply
    727,926x = 1,575,084 × 1,575,084
  4. Step 4: Simplify right side
    727,926x = 2,480,889,607,056
  5. Step 5: Solve for x
    x = 2,480,889,607,056/727,926
  6. Step 6: Final answer
    x = 3,408,161.83

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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.