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Finding the Third Proportional to 1,616,808.38 and 3,520,661.63

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Solution

The third proportional to 1,616,808.38 and 3,520,661.63 is: 7,666,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,808.38 : 3,520,661.63 = 3,520,661.63 : x
  2. Step 2: Convert to fraction form
    1,616,808.38/3,520,661.63 = 3,520,661.63/x
  3. Step 3: Cross multiply
    1,616,808.38x = 3,520,661.63 × 3,520,661.63
  4. Step 4: Simplify right side
    1,616,808.38x = 12,395,058,277,747.64
  5. Step 5: Solve for x
    x = 12,395,058,277,747.64/1,616,808.38
  6. Step 6: Final answer
    x = 7,666,374.36

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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.