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Finding the Third Proportional to 784,884 and 1,695,201

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Solution

The third proportional to 784,884 and 1,695,201 is: 3,661,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,884 : 1,695,201 = 1,695,201 : x
  2. Step 2: Convert to fraction form
    784,884/1,695,201 = 1,695,201/x
  3. Step 3: Cross multiply
    784,884x = 1,695,201 × 1,695,201
  4. Step 4: Simplify right side
    784,884x = 2,873,706,430,401
  5. Step 5: Solve for x
    x = 2,873,706,430,401/784,884
  6. Step 6: Final answer
    x = 3,661,313.56

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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.