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Finding the Third Proportional to 624,052 and 1,341,462

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Solution

The third proportional to 624,052 and 1,341,462 is: 2,883,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,052 : 1,341,462 = 1,341,462 : x
  2. Step 2: Convert to fraction form
    624,052/1,341,462 = 1,341,462/x
  3. Step 3: Cross multiply
    624,052x = 1,341,462 × 1,341,462
  4. Step 4: Simplify right side
    624,052x = 1,799,520,297,444
  5. Step 5: Solve for x
    x = 1,799,520,297,444/624,052
  6. Step 6: Final answer
    x = 2,883,606.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.