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Finding the Third Proportional to 701,003 and 1,050,321

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Solution

The third proportional to 701,003 and 1,050,321 is: 1,573,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,003 : 1,050,321 = 1,050,321 : x
  2. Step 2: Convert to fraction form
    701,003/1,050,321 = 1,050,321/x
  3. Step 3: Cross multiply
    701,003x = 1,050,321 × 1,050,321
  4. Step 4: Simplify right side
    701,003x = 1,103,174,203,041
  5. Step 5: Solve for x
    x = 1,103,174,203,041/701,003
  6. Step 6: Final answer
    x = 1,573,708.25

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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.