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Finding the Third Proportional to 901,689 and 1,349,703

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Solution

The third proportional to 901,689 and 1,349,703 is: 2,020,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,689 : 1,349,703 = 1,349,703 : x
  2. Step 2: Convert to fraction form
    901,689/1,349,703 = 1,349,703/x
  3. Step 3: Cross multiply
    901,689x = 1,349,703 × 1,349,703
  4. Step 4: Simplify right side
    901,689x = 1,821,698,188,209
  5. Step 5: Solve for x
    x = 1,821,698,188,209/901,689
  6. Step 6: Final answer
    x = 2,020,317.64

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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.