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Finding the Third Proportional to 923,071 and 1,993,765

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Solution

The third proportional to 923,071 and 1,993,765 is: 4,306,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,071 : 1,993,765 = 1,993,765 : x
  2. Step 2: Convert to fraction form
    923,071/1,993,765 = 1,993,765/x
  3. Step 3: Cross multiply
    923,071x = 1,993,765 × 1,993,765
  4. Step 4: Simplify right side
    923,071x = 3,975,098,875,225
  5. Step 5: Solve for x
    x = 3,975,098,875,225/923,071
  6. Step 6: Final answer
    x = 4,306,384.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.