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Finding the Third Proportional to 2,609,324 and 3,674,502

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Solution

The third proportional to 2,609,324 and 3,674,502 is: 5,174,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609,324 : 3,674,502 = 3,674,502 : x
  2. Step 2: Convert to fraction form
    2,609,324/3,674,502 = 3,674,502/x
  3. Step 3: Cross multiply
    2,609,324x = 3,674,502 × 3,674,502
  4. Step 4: Simplify right side
    2,609,324x = 13,501,964,948,004
  5. Step 5: Solve for x
    x = 13,501,964,948,004/2,609,324
  6. Step 6: Final answer
    x = 5,174,506.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.