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Finding the Third Proportional to 435,672 and 943,728

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Solution

The third proportional to 435,672 and 943,728 is: 2,044,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,672 : 943,728 = 943,728 : x
  2. Step 2: Convert to fraction form
    435,672/943,728 = 943,728/x
  3. Step 3: Cross multiply
    435,672x = 943,728 × 943,728
  4. Step 4: Simplify right side
    435,672x = 890,622,537,984
  5. Step 5: Solve for x
    x = 890,622,537,984/435,672
  6. Step 6: Final answer
    x = 2,044,250.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.