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Finding the Third Proportional to 974,739 and 2,173,601

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Solution

The third proportional to 974,739 and 2,173,601 is: 4,846,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,739 : 2,173,601 = 2,173,601 : x
  2. Step 2: Convert to fraction form
    974,739/2,173,601 = 2,173,601/x
  3. Step 3: Cross multiply
    974,739x = 2,173,601 × 2,173,601
  4. Step 4: Simplify right side
    974,739x = 4,724,541,307,201
  5. Step 5: Solve for x
    x = 4,724,541,307,201/974,739
  6. Step 6: Final answer
    x = 4,846,980.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.