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Finding the Third Proportional to 911,185 and 1,414,533

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Solution

The third proportional to 911,185 and 1,414,533 is: 2,195,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,185 : 1,414,533 = 1,414,533 : x
  2. Step 2: Convert to fraction form
    911,185/1,414,533 = 1,414,533/x
  3. Step 3: Cross multiply
    911,185x = 1,414,533 × 1,414,533
  4. Step 4: Simplify right side
    911,185x = 2,000,903,608,089
  5. Step 5: Solve for x
    x = 2,000,903,608,089/911,185
  6. Step 6: Final answer
    x = 2,195,935.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.