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Finding the Third Proportional to 489,060 and 1,036,998

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Solution

The third proportional to 489,060 and 1,036,998 is: 2,198,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,060 : 1,036,998 = 1,036,998 : x
  2. Step 2: Convert to fraction form
    489,060/1,036,998 = 1,036,998/x
  3. Step 3: Cross multiply
    489,060x = 1,036,998 × 1,036,998
  4. Step 4: Simplify right side
    489,060x = 1,075,364,852,004
  5. Step 5: Solve for x
    x = 1,075,364,852,004/489,060
  6. Step 6: Final answer
    x = 2,198,840.33

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