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Finding the Third Proportional to 720,634 and 1,668,094

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Solution

The third proportional to 720,634 and 1,668,094 is: 3,861,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,634 : 1,668,094 = 1,668,094 : x
  2. Step 2: Convert to fraction form
    720,634/1,668,094 = 1,668,094/x
  3. Step 3: Cross multiply
    720,634x = 1,668,094 × 1,668,094
  4. Step 4: Simplify right side
    720,634x = 2,782,537,592,836
  5. Step 5: Solve for x
    x = 2,782,537,592,836/720,634
  6. Step 6: Final answer
    x = 3,861,235.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.