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Finding the Third Proportional to 580,541,924 and 1,253,436,808

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Solution

The third proportional to 580,541,924 and 1,253,436,808 is: 2,706,271,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,541,924 : 1,253,436,808 = 1,253,436,808 : x
  2. Step 2: Convert to fraction form
    580,541,924/1,253,436,808 = 1,253,436,808/x
  3. Step 3: Cross multiply
    580,541,924x = 1,253,436,808 × 1,253,436,808
  4. Step 4: Simplify right side
    580,541,924x = 1,571,103,831,649,228,800
  5. Step 5: Solve for x
    x = 1,571,103,831,649,228,800/580,541,924
  6. Step 6: Final answer
    x = 2,706,271,100.67

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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.