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Finding the Third Proportional to 498,032 and 1,066,048

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Solution

The third proportional to 498,032 and 1,066,048 is: 2,281,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,032 : 1,066,048 = 1,066,048 : x
  2. Step 2: Convert to fraction form
    498,032/1,066,048 = 1,066,048/x
  3. Step 3: Cross multiply
    498,032x = 1,066,048 × 1,066,048
  4. Step 4: Simplify right side
    498,032x = 1,136,458,338,304
  5. Step 5: Solve for x
    x = 1,136,458,338,304/498,032
  6. Step 6: Final answer
    x = 2,281,898.23

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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.