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Finding the Third Proportional to 1,685,184 and 3,607,536

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Solution

The third proportional to 1,685,184 and 3,607,536 is: 7,722,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,184 : 3,607,536 = 3,607,536 : x
  2. Step 2: Convert to fraction form
    1,685,184/3,607,536 = 3,607,536/x
  3. Step 3: Cross multiply
    1,685,184x = 3,607,536 × 3,607,536
  4. Step 4: Simplify right side
    1,685,184x = 13,014,315,991,296
  5. Step 5: Solve for x
    x = 13,014,315,991,296/1,685,184
  6. Step 6: Final answer
    x = 7,722,786.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.