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Finding the Third Proportional to 481,043 and 1,045,813

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Solution

The third proportional to 481,043 and 1,045,813 is: 2,273,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,043 : 1,045,813 = 1,045,813 : x
  2. Step 2: Convert to fraction form
    481,043/1,045,813 = 1,045,813/x
  3. Step 3: Cross multiply
    481,043x = 1,045,813 × 1,045,813
  4. Step 4: Simplify right side
    481,043x = 1,093,724,830,969
  5. Step 5: Solve for x
    x = 1,093,724,830,969/481,043
  6. Step 6: Final answer
    x = 2,273,652.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.