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Finding the Third Proportional to 489,009 and 1,036,896

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Solution

The third proportional to 489,009 and 1,036,896 is: 2,198,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,009 : 1,036,896 = 1,036,896 : x
  2. Step 2: Convert to fraction form
    489,009/1,036,896 = 1,036,896/x
  3. Step 3: Cross multiply
    489,009x = 1,036,896 × 1,036,896
  4. Step 4: Simplify right side
    489,009x = 1,075,153,314,816
  5. Step 5: Solve for x
    x = 1,075,153,314,816/489,009
  6. Step 6: Final answer
    x = 2,198,637.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.