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Finding the Third Proportional to 857,282 and 1,832,668

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Solution

The third proportional to 857,282 and 1,832,668 is: 3,917,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,282 : 1,832,668 = 1,832,668 : x
  2. Step 2: Convert to fraction form
    857,282/1,832,668 = 1,832,668/x
  3. Step 3: Cross multiply
    857,282x = 1,832,668 × 1,832,668
  4. Step 4: Simplify right side
    857,282x = 3,358,671,998,224
  5. Step 5: Solve for x
    x = 3,358,671,998,224/857,282
  6. Step 6: Final answer
    x = 3,917,814.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.