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Finding the Third Proportional to 696,574.69 and 1,422,668.81

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Solution

The third proportional to 696,574.69 and 1,422,668.81 is: 2,905,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,574.69 : 1,422,668.81 = 1,422,668.81 : x
  2. Step 2: Convert to fraction form
    696,574.69/1,422,668.81 = 1,422,668.81/x
  3. Step 3: Cross multiply
    696,574.69x = 1,422,668.81 × 1,422,668.81
  4. Step 4: Simplify right side
    696,574.69x = 2,023,986,550,060.16
  5. Step 5: Solve for x
    x = 2,023,986,550,060.16/696,574.69
  6. Step 6: Final answer
    x = 2,905,627.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.