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Finding the Third Proportional to 1,581,456 and 3,731,430

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Solution

The third proportional to 1,581,456 and 3,731,430 is: 8,804,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,456 : 3,731,430 = 3,731,430 : x
  2. Step 2: Convert to fraction form
    1,581,456/3,731,430 = 3,731,430/x
  3. Step 3: Cross multiply
    1,581,456x = 3,731,430 × 3,731,430
  4. Step 4: Simplify right side
    1,581,456x = 13,923,569,844,900
  5. Step 5: Solve for x
    x = 13,923,569,844,900/1,581,456
  6. Step 6: Final answer
    x = 8,804,272.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.