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Finding the Third Proportional to 567,338 and 1,214,952

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Solution

The third proportional to 567,338 and 1,214,952 is: 2,601,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,338 : 1,214,952 = 1,214,952 : x
  2. Step 2: Convert to fraction form
    567,338/1,214,952 = 1,214,952/x
  3. Step 3: Cross multiply
    567,338x = 1,214,952 × 1,214,952
  4. Step 4: Simplify right side
    567,338x = 1,476,108,362,304
  5. Step 5: Solve for x
    x = 1,476,108,362,304/567,338
  6. Step 6: Final answer
    x = 2,601,814.72

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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.