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Finding the Third Proportional to 1,293,319 and 1,957,869

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Solution

The third proportional to 1,293,319 and 1,957,869 is: 2,963,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,319 : 1,957,869 = 1,957,869 : x
  2. Step 2: Convert to fraction form
    1,293,319/1,957,869 = 1,957,869/x
  3. Step 3: Cross multiply
    1,293,319x = 1,957,869 × 1,957,869
  4. Step 4: Simplify right side
    1,293,319x = 3,833,251,021,161
  5. Step 5: Solve for x
    x = 3,833,251,021,161/1,293,319
  6. Step 6: Final answer
    x = 2,963,886.73

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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.