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Finding the Third Proportional to 2,654,494 and 4,085,623

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Solution

The third proportional to 2,654,494 and 4,085,623 is: 6,288,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654,494 : 4,085,623 = 4,085,623 : x
  2. Step 2: Convert to fraction form
    2,654,494/4,085,623 = 4,085,623/x
  3. Step 3: Cross multiply
    2,654,494x = 4,085,623 × 4,085,623
  4. Step 4: Simplify right side
    2,654,494x = 16,692,315,298,129
  5. Step 5: Solve for x
    x = 16,692,315,298,129/2,654,494
  6. Step 6: Final answer
    x = 6,288,322.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.