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Finding the Third Proportional to 1,616,949 and 3,520,764

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Solution

The third proportional to 1,616,949 and 3,520,764 is: 7,666,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,949 : 3,520,764 = 3,520,764 : x
  2. Step 2: Convert to fraction form
    1,616,949/3,520,764 = 3,520,764/x
  3. Step 3: Cross multiply
    1,616,949x = 3,520,764 × 3,520,764
  4. Step 4: Simplify right side
    1,616,949x = 12,395,779,143,696
  5. Step 5: Solve for x
    x = 12,395,779,143,696/1,616,949
  6. Step 6: Final answer
    x = 7,666,153.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.