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Finding the Third Proportional to 1,588,898 and 3,630,101

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Solution

The third proportional to 1,588,898 and 3,630,101 is: 8,293,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,898 : 3,630,101 = 3,630,101 : x
  2. Step 2: Convert to fraction form
    1,588,898/3,630,101 = 3,630,101/x
  3. Step 3: Cross multiply
    1,588,898x = 3,630,101 × 3,630,101
  4. Step 4: Simplify right side
    1,588,898x = 13,177,633,270,201
  5. Step 5: Solve for x
    x = 13,177,633,270,201/1,588,898
  6. Step 6: Final answer
    x = 8,293,567.79

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.