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Finding the Third Proportional to 1,296,516 and 1,962,669

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Solution

The third proportional to 1,296,516 and 1,962,669 is: 2,971,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,516 : 1,962,669 = 1,962,669 : x
  2. Step 2: Convert to fraction form
    1,296,516/1,962,669 = 1,962,669/x
  3. Step 3: Cross multiply
    1,296,516x = 1,962,669 × 1,962,669
  4. Step 4: Simplify right side
    1,296,516x = 3,852,069,603,561
  5. Step 5: Solve for x
    x = 3,852,069,603,561/1,296,516
  6. Step 6: Final answer
    x = 2,971,092.99

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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.