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Finding the Third Proportional to 1,580,558 and 3,408,124

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Solution

The third proportional to 1,580,558 and 3,408,124 is: 7,348,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,558 : 3,408,124 = 3,408,124 : x
  2. Step 2: Convert to fraction form
    1,580,558/3,408,124 = 3,408,124/x
  3. Step 3: Cross multiply
    1,580,558x = 3,408,124 × 3,408,124
  4. Step 4: Simplify right side
    1,580,558x = 11,615,309,199,376
  5. Step 5: Solve for x
    x = 11,615,309,199,376/1,580,558
  6. Step 6: Final answer
    x = 7,348,866.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.