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Finding the Third Proportional to 614,684,324 and 1,341,701,608

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Solution

The third proportional to 614,684,324 and 1,341,701,608 is: 2,928,597,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,684,324 : 1,341,701,608 = 1,341,701,608 : x
  2. Step 2: Convert to fraction form
    614,684,324/1,341,701,608 = 1,341,701,608/x
  3. Step 3: Cross multiply
    614,684,324x = 1,341,701,608 × 1,341,701,608
  4. Step 4: Simplify right side
    614,684,324x = 1,800,163,204,909,785,600
  5. Step 5: Solve for x
    x = 1,800,163,204,909,785,600/614,684,324
  6. Step 6: Final answer
    x = 2,928,597,874.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.