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Finding the Third Proportional to 675,288 and 1,577,628

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Solution

The third proportional to 675,288 and 1,577,628 is: 3,685,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,288 : 1,577,628 = 1,577,628 : x
  2. Step 2: Convert to fraction form
    675,288/1,577,628 = 1,577,628/x
  3. Step 3: Cross multiply
    675,288x = 1,577,628 × 1,577,628
  4. Step 4: Simplify right side
    675,288x = 2,488,910,106,384
  5. Step 5: Solve for x
    x = 2,488,910,106,384/675,288
  6. Step 6: Final answer
    x = 3,685,701.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.