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Finding the Third Proportional to 629,749.69 and 947,783.53

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Solution

The third proportional to 629,749.69 and 947,783.53 is: 1,426,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,749.69 : 947,783.53 = 947,783.53 : x
  2. Step 2: Convert to fraction form
    629,749.69/947,783.53 = 947,783.53/x
  3. Step 3: Cross multiply
    629,749.69x = 947,783.53 × 947,783.53
  4. Step 4: Simplify right side
    629,749.69x = 898,293,622,108.72
  5. Step 5: Solve for x
    x = 898,293,622,108.72/629,749.69
  6. Step 6: Final answer
    x = 1,426,429.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.