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Finding the Third Proportional to 2,546,424 and 3,460,392

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Solution

The third proportional to 2,546,424 and 3,460,392 is: 4,702,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546,424 : 3,460,392 = 3,460,392 : x
  2. Step 2: Convert to fraction form
    2,546,424/3,460,392 = 3,460,392/x
  3. Step 3: Cross multiply
    2,546,424x = 3,460,392 × 3,460,392
  4. Step 4: Simplify right side
    2,546,424x = 11,974,312,793,664
  5. Step 5: Solve for x
    x = 11,974,312,793,664/2,546,424
  6. Step 6: Final answer
    x = 4,702,403.37

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Why These Related Problems?

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