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Finding the Third Proportional to 734,023 and 1,122,973

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Solution

The third proportional to 734,023 and 1,122,973 is: 1,718,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,023 : 1,122,973 = 1,122,973 : x
  2. Step 2: Convert to fraction form
    734,023/1,122,973 = 1,122,973/x
  3. Step 3: Cross multiply
    734,023x = 1,122,973 × 1,122,973
  4. Step 4: Simplify right side
    734,023x = 1,261,068,358,729
  5. Step 5: Solve for x
    x = 1,261,068,358,729/734,023
  6. Step 6: Final answer
    x = 1,718,022.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.