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Finding the Third Proportional to 818,576 and 1,771,668

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Solution

The third proportional to 818,576 and 1,771,668 is: 3,834,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,576 : 1,771,668 = 1,771,668 : x
  2. Step 2: Convert to fraction form
    818,576/1,771,668 = 1,771,668/x
  3. Step 3: Cross multiply
    818,576x = 1,771,668 × 1,771,668
  4. Step 4: Simplify right side
    818,576x = 3,138,807,502,224
  5. Step 5: Solve for x
    x = 3,138,807,502,224/818,576
  6. Step 6: Final answer
    x = 3,834,472.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.