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Finding the Third Proportional to 1,299,348 and 1,999,764

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Solution

The third proportional to 1,299,348 and 1,999,764 is: 3,077,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,348 : 1,999,764 = 1,999,764 : x
  2. Step 2: Convert to fraction form
    1,299,348/1,999,764 = 1,999,764/x
  3. Step 3: Cross multiply
    1,299,348x = 1,999,764 × 1,999,764
  4. Step 4: Simplify right side
    1,299,348x = 3,999,056,055,696
  5. Step 5: Solve for x
    x = 3,999,056,055,696/1,299,348
  6. Step 6: Final answer
    x = 3,077,740.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.