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Finding the Third Proportional to 691,668 and 1,037,502

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Solution

The third proportional to 691,668 and 1,037,502 is: 1,556,253

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,668 : 1,037,502 = 1,037,502 : x
  2. Step 2: Convert to fraction form
    691,668/1,037,502 = 1,037,502/x
  3. Step 3: Cross multiply
    691,668x = 1,037,502 × 1,037,502
  4. Step 4: Simplify right side
    691,668x = 1,076,410,400,004
  5. Step 5: Solve for x
    x = 1,076,410,400,004/691,668
  6. Step 6: Final answer
    x = 1,556,253

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.