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Finding the Third Proportional to 1,089,535,518 and 1,528,834,245

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Solution

The third proportional to 1,089,535,518 and 1,528,834,245 is: 2,145,257,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,535,518 : 1,528,834,245 = 1,528,834,245 : x
  2. Step 2: Convert to fraction form
    1,089,535,518/1,528,834,245 = 1,528,834,245/x
  3. Step 3: Cross multiply
    1,089,535,518x = 1,528,834,245 × 1,528,834,245
  4. Step 4: Simplify right side
    1,089,535,518x = 2,337,334,148,684,720,128
  5. Step 5: Solve for x
    x = 2,337,334,148,684,720,128/1,089,535,518
  6. Step 6: Final answer
    x = 2,145,257,414.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.