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Finding the Third Proportional to 643,026 and 1,412,952

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Solution

The third proportional to 643,026 and 1,412,952 is: 3,104,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,026 : 1,412,952 = 1,412,952 : x
  2. Step 2: Convert to fraction form
    643,026/1,412,952 = 1,412,952/x
  3. Step 3: Cross multiply
    643,026x = 1,412,952 × 1,412,952
  4. Step 4: Simplify right side
    643,026x = 1,996,433,354,304
  5. Step 5: Solve for x
    x = 1,996,433,354,304/643,026
  6. Step 6: Final answer
    x = 3,104,747.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.