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Finding the Third Proportional to 728,246 and 1,485,402

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Solution

The third proportional to 728,246 and 1,485,402 is: 3,029,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,246 : 1,485,402 = 1,485,402 : x
  2. Step 2: Convert to fraction form
    728,246/1,485,402 = 1,485,402/x
  3. Step 3: Cross multiply
    728,246x = 1,485,402 × 1,485,402
  4. Step 4: Simplify right side
    728,246x = 2,206,419,101,604
  5. Step 5: Solve for x
    x = 2,206,419,101,604/728,246
  6. Step 6: Final answer
    x = 3,029,771.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.