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Finding the Third Proportional to 994,016 and 1,530,117

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Solution

The third proportional to 994,016 and 1,530,117 is: 2,355,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,016 : 1,530,117 = 1,530,117 : x
  2. Step 2: Convert to fraction form
    994,016/1,530,117 = 1,530,117/x
  3. Step 3: Cross multiply
    994,016x = 1,530,117 × 1,530,117
  4. Step 4: Simplify right side
    994,016x = 2,341,258,033,689
  5. Step 5: Solve for x
    x = 2,341,258,033,689/994,016
  6. Step 6: Final answer
    x = 2,355,352.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.