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Finding the Third Proportional to 835,044 and 1,861,332

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Solution

The third proportional to 835,044 and 1,861,332 is: 4,148,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,044 : 1,861,332 = 1,861,332 : x
  2. Step 2: Convert to fraction form
    835,044/1,861,332 = 1,861,332/x
  3. Step 3: Cross multiply
    835,044x = 1,861,332 × 1,861,332
  4. Step 4: Simplify right side
    835,044x = 3,464,556,814,224
  5. Step 5: Solve for x
    x = 3,464,556,814,224/835,044
  6. Step 6: Final answer
    x = 4,148,951.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.