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Finding the Third Proportional to 901,944 and 1,943,424

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Solution

The third proportional to 901,944 and 1,943,424 is: 4,187,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,944 : 1,943,424 = 1,943,424 : x
  2. Step 2: Convert to fraction form
    901,944/1,943,424 = 1,943,424/x
  3. Step 3: Cross multiply
    901,944x = 1,943,424 × 1,943,424
  4. Step 4: Simplify right side
    901,944x = 3,776,896,843,776
  5. Step 5: Solve for x
    x = 3,776,896,843,776/901,944
  6. Step 6: Final answer
    x = 4,187,507.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.