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Finding the Third Proportional to 2,685,666 and 4,164,642

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Solution

The third proportional to 2,685,666 and 4,164,642 is: 6,458,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685,666 : 4,164,642 = 4,164,642 : x
  2. Step 2: Convert to fraction form
    2,685,666/4,164,642 = 4,164,642/x
  3. Step 3: Cross multiply
    2,685,666x = 4,164,642 × 4,164,642
  4. Step 4: Simplify right side
    2,685,666x = 17,344,242,988,164
  5. Step 5: Solve for x
    x = 17,344,242,988,164/2,685,666
  6. Step 6: Final answer
    x = 6,458,078.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.