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Finding the Third Proportional to 2,977,233 and 6,458,571

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Solution

The third proportional to 2,977,233 and 6,458,571 is: 14,010,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977,233 : 6,458,571 = 6,458,571 : x
  2. Step 2: Convert to fraction form
    2,977,233/6,458,571 = 6,458,571/x
  3. Step 3: Cross multiply
    2,977,233x = 6,458,571 × 6,458,571
  4. Step 4: Simplify right side
    2,977,233x = 41,713,139,362,041
  5. Step 5: Solve for x
    x = 41,713,139,362,041/2,977,233
  6. Step 6: Final answer
    x = 14,010,707.04

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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.