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Finding the Third Proportional to 930,399 and 1,973,718

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Solution

The third proportional to 930,399 and 1,973,718 is: 4,186,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,399 : 1,973,718 = 1,973,718 : x
  2. Step 2: Convert to fraction form
    930,399/1,973,718 = 1,973,718/x
  3. Step 3: Cross multiply
    930,399x = 1,973,718 × 1,973,718
  4. Step 4: Simplify right side
    930,399x = 3,895,562,743,524
  5. Step 5: Solve for x
    x = 3,895,562,743,524/930,399
  6. Step 6: Final answer
    x = 4,186,980.79

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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.