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Finding the Third Proportional to 2,423,741 and 3,758,097

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Solution

The third proportional to 2,423,741 and 3,758,097 is: 5,827,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423,741 : 3,758,097 = 3,758,097 : x
  2. Step 2: Convert to fraction form
    2,423,741/3,758,097 = 3,758,097/x
  3. Step 3: Cross multiply
    2,423,741x = 3,758,097 × 3,758,097
  4. Step 4: Simplify right side
    2,423,741x = 14,123,293,061,409
  5. Step 5: Solve for x
    x = 14,123,293,061,409/2,423,741
  6. Step 6: Final answer
    x = 5,827,063.64

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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.