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Finding the Third Proportional to 1,000,077 and 1,588,689

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Solution

The third proportional to 1,000,077 and 1,588,689 is: 2,523,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,077 : 1,588,689 = 1,588,689 : x
  2. Step 2: Convert to fraction form
    1,000,077/1,588,689 = 1,588,689/x
  3. Step 3: Cross multiply
    1,000,077x = 1,588,689 × 1,588,689
  4. Step 4: Simplify right side
    1,000,077x = 2,523,932,738,721
  5. Step 5: Solve for x
    x = 2,523,932,738,721/1,000,077
  6. Step 6: Final answer
    x = 2,523,738.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.