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Finding the Third Proportional to 952,400 and 1,438,332

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Solution

The third proportional to 952,400 and 1,438,332 is: 2,172,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,400 : 1,438,332 = 1,438,332 : x
  2. Step 2: Convert to fraction form
    952,400/1,438,332 = 1,438,332/x
  3. Step 3: Cross multiply
    952,400x = 1,438,332 × 1,438,332
  4. Step 4: Simplify right side
    952,400x = 2,068,798,942,224
  5. Step 5: Solve for x
    x = 2,068,798,942,224/952,400
  6. Step 6: Final answer
    x = 2,172,195.45

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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.