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Finding the Third Proportional to 640,112 and 933,852

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Solution

The third proportional to 640,112 and 933,852 is: 1,362,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,112 : 933,852 = 933,852 : x
  2. Step 2: Convert to fraction form
    640,112/933,852 = 933,852/x
  3. Step 3: Cross multiply
    640,112x = 933,852 × 933,852
  4. Step 4: Simplify right side
    640,112x = 872,079,557,904
  5. Step 5: Solve for x
    x = 872,079,557,904/640,112
  6. Step 6: Final answer
    x = 1,362,385.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.