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Finding the Third Proportional to 706,768 and 1,668,230

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Solution

The third proportional to 706,768 and 1,668,230 is: 3,937,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,768 : 1,668,230 = 1,668,230 : x
  2. Step 2: Convert to fraction form
    706,768/1,668,230 = 1,668,230/x
  3. Step 3: Cross multiply
    706,768x = 1,668,230 × 1,668,230
  4. Step 4: Simplify right side
    706,768x = 2,782,991,332,900
  5. Step 5: Solve for x
    x = 2,782,991,332,900/706,768
  6. Step 6: Final answer
    x = 3,937,630.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.