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Finding the Third Proportional to 846,854 and 1,816,503

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Solution

The third proportional to 846,854 and 1,816,503 is: 3,896,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,854 : 1,816,503 = 1,816,503 : x
  2. Step 2: Convert to fraction form
    846,854/1,816,503 = 1,816,503/x
  3. Step 3: Cross multiply
    846,854x = 1,816,503 × 1,816,503
  4. Step 4: Simplify right side
    846,854x = 3,299,683,149,009
  5. Step 5: Solve for x
    x = 3,299,683,149,009/846,854
  6. Step 6: Final answer
    x = 3,896,401.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.