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Finding the Third Proportional to 881,128,019 and 1,321,692,184

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Solution

The third proportional to 881,128,019 and 1,321,692,184 is: 1,982,538,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,128,019 : 1,321,692,184 = 1,321,692,184 : x
  2. Step 2: Convert to fraction form
    881,128,019/1,321,692,184 = 1,321,692,184/x
  3. Step 3: Cross multiply
    881,128,019x = 1,321,692,184 × 1,321,692,184
  4. Step 4: Simplify right side
    881,128,019x = 1,746,870,229,246,689,792
  5. Step 5: Solve for x
    x = 1,746,870,229,246,689,792/881,128,019
  6. Step 6: Final answer
    x = 1,982,538,509.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.