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Finding the Third Proportional to 1,586,610 and 3,488,148

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Solution

The third proportional to 1,586,610 and 3,488,148 is: 7,668,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,610 : 3,488,148 = 3,488,148 : x
  2. Step 2: Convert to fraction form
    1,586,610/3,488,148 = 3,488,148/x
  3. Step 3: Cross multiply
    1,586,610x = 3,488,148 × 3,488,148
  4. Step 4: Simplify right side
    1,586,610x = 12,167,176,469,904
  5. Step 5: Solve for x
    x = 12,167,176,469,904/1,586,610
  6. Step 6: Final answer
    x = 7,668,662.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.