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Finding the Third Proportional to 1,658,667.38 and 2,503,218.94

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Solution

The third proportional to 1,658,667.38 and 2,503,218.94 is: 3,777,794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,667.38 : 2,503,218.94 = 2,503,218.94 : x
  2. Step 2: Convert to fraction form
    1,658,667.38/2,503,218.94 = 2,503,218.94/x
  3. Step 3: Cross multiply
    1,658,667.38x = 2,503,218.94 × 2,503,218.94
  4. Step 4: Simplify right side
    1,658,667.38x = 6,266,105,049,058.63
  5. Step 5: Solve for x
    x = 6,266,105,049,058.63/1,658,667.38
  6. Step 6: Final answer
    x = 3,777,794.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.