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Finding the Third Proportional to 734,114 and 1,033,808

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Solution

The third proportional to 734,114 and 1,033,808 is: 1,455,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,114 : 1,033,808 = 1,033,808 : x
  2. Step 2: Convert to fraction form
    734,114/1,033,808 = 1,033,808/x
  3. Step 3: Cross multiply
    734,114x = 1,033,808 × 1,033,808
  4. Step 4: Simplify right side
    734,114x = 1,068,758,980,864
  5. Step 5: Solve for x
    x = 1,068,758,980,864/734,114
  6. Step 6: Final answer
    x = 1,455,848.79

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.