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Finding the Third Proportional to 930,401 and 1,973,722

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Solution

The third proportional to 930,401 and 1,973,722 is: 4,186,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,401 : 1,973,722 = 1,973,722 : x
  2. Step 2: Convert to fraction form
    930,401/1,973,722 = 1,973,722/x
  3. Step 3: Cross multiply
    930,401x = 1,973,722 × 1,973,722
  4. Step 4: Simplify right side
    930,401x = 3,895,578,533,284
  5. Step 5: Solve for x
    x = 3,895,578,533,284/930,401
  6. Step 6: Final answer
    x = 4,186,988.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.