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Finding the Third Proportional to 1,292,508 and 2,760,943.50

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Solution

The third proportional to 1,292,508 and 2,760,943.50 is: 5,897,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,508 : 2,760,943.50 = 2,760,943.50 : x
  2. Step 2: Convert to fraction form
    1,292,508/2,760,943.50 = 2,760,943.50/x
  3. Step 3: Cross multiply
    1,292,508x = 2,760,943.50 × 2,760,943.50
  4. Step 4: Simplify right side
    1,292,508x = 7,622,809,010,192.25
  5. Step 5: Solve for x
    x = 7,622,809,010,192.25/1,292,508
  6. Step 6: Final answer
    x = 5,897,688.07

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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.