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Finding the Third Proportional to 720,649 and 1,668,105

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Solution

The third proportional to 720,649 and 1,668,105 is: 3,861,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,649 : 1,668,105 = 1,668,105 : x
  2. Step 2: Convert to fraction form
    720,649/1,668,105 = 1,668,105/x
  3. Step 3: Cross multiply
    720,649x = 1,668,105 × 1,668,105
  4. Step 4: Simplify right side
    720,649x = 2,782,574,291,025
  5. Step 5: Solve for x
    x = 2,782,574,291,025/720,649
  6. Step 6: Final answer
    x = 3,861,206.07

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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.