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Finding the Third Proportional to 1,681,216.50 and 3,648,213

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Solution

The third proportional to 1,681,216.50 and 3,648,213 is: 7,916,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,216.50 : 3,648,213 = 3,648,213 : x
  2. Step 2: Convert to fraction form
    1,681,216.50/3,648,213 = 3,648,213/x
  3. Step 3: Cross multiply
    1,681,216.50x = 3,648,213 × 3,648,213
  4. Step 4: Simplify right side
    1,681,216.50x = 13,309,458,093,369
  5. Step 5: Solve for x
    x = 13,309,458,093,369/1,681,216.50
  6. Step 6: Final answer
    x = 7,916,564.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.