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Finding the Third Proportional to 603,069 and 932,943

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Solution

The third proportional to 603,069 and 932,943 is: 1,443,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,069 : 932,943 = 932,943 : x
  2. Step 2: Convert to fraction form
    603,069/932,943 = 932,943/x
  3. Step 3: Cross multiply
    603,069x = 932,943 × 932,943
  4. Step 4: Simplify right side
    603,069x = 870,382,641,249
  5. Step 5: Solve for x
    x = 870,382,641,249/603,069
  6. Step 6: Final answer
    x = 1,443,255.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.