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Finding the Third Proportional to 2,546,412 and 3,460,374

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Solution

The third proportional to 2,546,412 and 3,460,374 is: 4,702,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546,412 : 3,460,374 = 3,460,374 : x
  2. Step 2: Convert to fraction form
    2,546,412/3,460,374 = 3,460,374/x
  3. Step 3: Cross multiply
    2,546,412x = 3,460,374 × 3,460,374
  4. Step 4: Simplify right side
    2,546,412x = 11,974,188,219,876
  5. Step 5: Solve for x
    x = 11,974,188,219,876/2,546,412
  6. Step 6: Final answer
    x = 4,702,376.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.