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Finding the Third Proportional to 3,577,821 and 5,698,638

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Solution

The third proportional to 3,577,821 and 5,698,638 is: 9,076,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577,821 : 5,698,638 = 5,698,638 : x
  2. Step 2: Convert to fraction form
    3,577,821/5,698,638 = 5,698,638/x
  3. Step 3: Cross multiply
    3,577,821x = 5,698,638 × 5,698,638
  4. Step 4: Simplify right side
    3,577,821x = 32,474,475,055,044
  5. Step 5: Solve for x
    x = 32,474,475,055,044/3,577,821
  6. Step 6: Final answer
    x = 9,076,606.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.