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Finding the Third Proportional to 675,682 and 909,651

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Solution

The third proportional to 675,682 and 909,651 is: 1,224,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,682 : 909,651 = 909,651 : x
  2. Step 2: Convert to fraction form
    675,682/909,651 = 909,651/x
  3. Step 3: Cross multiply
    675,682x = 909,651 × 909,651
  4. Step 4: Simplify right side
    675,682x = 827,464,941,801
  5. Step 5: Solve for x
    x = 827,464,941,801/675,682
  6. Step 6: Final answer
    x = 1,224,636.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.