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Finding the Third Proportional to 759,928 and 1,185,900

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Solution

The third proportional to 759,928 and 1,185,900 is: 1,850,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,928 : 1,185,900 = 1,185,900 : x
  2. Step 2: Convert to fraction form
    759,928/1,185,900 = 1,185,900/x
  3. Step 3: Cross multiply
    759,928x = 1,185,900 × 1,185,900
  4. Step 4: Simplify right side
    759,928x = 1,406,358,810,000
  5. Step 5: Solve for x
    x = 1,406,358,810,000/759,928
  6. Step 6: Final answer
    x = 1,850,647.44

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.