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Finding the Third Proportional to 963,722 and 2,072,778

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Solution

The third proportional to 963,722 and 2,072,778 is: 4,458,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,722 : 2,072,778 = 2,072,778 : x
  2. Step 2: Convert to fraction form
    963,722/2,072,778 = 2,072,778/x
  3. Step 3: Cross multiply
    963,722x = 2,072,778 × 2,072,778
  4. Step 4: Simplify right side
    963,722x = 4,296,408,637,284
  5. Step 5: Solve for x
    x = 4,296,408,637,284/963,722
  6. Step 6: Final answer
    x = 4,458,141.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.