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Finding the Third Proportional to 501,213,834 and 1,043,675,447

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Solution

The third proportional to 501,213,834 and 1,043,675,447 is: 2,173,240,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,213,834 : 1,043,675,447 = 1,043,675,447 : x
  2. Step 2: Convert to fraction form
    501,213,834/1,043,675,447 = 1,043,675,447/x
  3. Step 3: Cross multiply
    501,213,834x = 1,043,675,447 × 1,043,675,447
  4. Step 4: Simplify right side
    501,213,834x = 1,089,258,438,670,649,856
  5. Step 5: Solve for x
    x = 1,089,258,438,670,649,856/501,213,834
  6. Step 6: Final answer
    x = 2,173,240,969.78

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.