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Finding the Third Proportional to 1,965,666 and 2,962,365

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Solution

The third proportional to 1,965,666 and 2,962,365 is: 4,464,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,666 : 2,962,365 = 2,962,365 : x
  2. Step 2: Convert to fraction form
    1,965,666/2,962,365 = 2,962,365/x
  3. Step 3: Cross multiply
    1,965,666x = 2,962,365 × 2,962,365
  4. Step 4: Simplify right side
    1,965,666x = 8,775,606,393,225
  5. Step 5: Solve for x
    x = 8,775,606,393,225/1,965,666
  6. Step 6: Final answer
    x = 4,464,444.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.