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Finding the Third Proportional to 1,292,512 and 2,760,952

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Solution

The third proportional to 1,292,512 and 2,760,952 is: 5,897,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,512 : 2,760,952 = 2,760,952 : x
  2. Step 2: Convert to fraction form
    1,292,512/2,760,952 = 2,760,952/x
  3. Step 3: Cross multiply
    1,292,512x = 2,760,952 × 2,760,952
  4. Step 4: Simplify right side
    1,292,512x = 7,622,855,946,304
  5. Step 5: Solve for x
    x = 7,622,855,946,304/1,292,512
  6. Step 6: Final answer
    x = 5,897,706.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.