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Finding the Third Proportional to 619,322 and 872,148

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Solution

The third proportional to 619,322 and 872,148 is: 1,228,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,322 : 872,148 = 872,148 : x
  2. Step 2: Convert to fraction form
    619,322/872,148 = 872,148/x
  3. Step 3: Cross multiply
    619,322x = 872,148 × 872,148
  4. Step 4: Simplify right side
    619,322x = 760,642,133,904
  5. Step 5: Solve for x
    x = 760,642,133,904/619,322
  6. Step 6: Final answer
    x = 1,228,185.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.