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Finding the Third Proportional to 1,296,646 and 1,902,929

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Solution

The third proportional to 1,296,646 and 1,902,929 is: 2,792,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,646 : 1,902,929 = 1,902,929 : x
  2. Step 2: Convert to fraction form
    1,296,646/1,902,929 = 1,902,929/x
  3. Step 3: Cross multiply
    1,296,646x = 1,902,929 × 1,902,929
  4. Step 4: Simplify right side
    1,296,646x = 3,621,138,779,041
  5. Step 5: Solve for x
    x = 3,621,138,779,041/1,296,646
  6. Step 6: Final answer
    x = 2,792,696.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.