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Finding the Third Proportional to 435,946 and 940,689

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Solution

The third proportional to 435,946 and 940,689 is: 2,029,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,946 : 940,689 = 940,689 : x
  2. Step 2: Convert to fraction form
    435,946/940,689 = 940,689/x
  3. Step 3: Cross multiply
    435,946x = 940,689 × 940,689
  4. Step 4: Simplify right side
    435,946x = 884,895,794,721
  5. Step 5: Solve for x
    x = 884,895,794,721/435,946
  6. Step 6: Final answer
    x = 2,029,828.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.