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Finding the Third Proportional to 489,042.50 and 1,036,963

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Solution

The third proportional to 489,042.50 and 1,036,963 is: 2,198,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,042.50 : 1,036,963 = 1,036,963 : x
  2. Step 2: Convert to fraction form
    489,042.50/1,036,963 = 1,036,963/x
  3. Step 3: Cross multiply
    489,042.50x = 1,036,963 × 1,036,963
  4. Step 4: Simplify right side
    489,042.50x = 1,075,292,263,369
  5. Step 5: Solve for x
    x = 1,075,292,263,369/489,042.50
  6. Step 6: Final answer
    x = 2,198,770.58

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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.