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Finding the Third Proportional to 435,459 and 933,126

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Solution

The third proportional to 435,459 and 933,126 is: 1,999,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,459 : 933,126 = 933,126 : x
  2. Step 2: Convert to fraction form
    435,459/933,126 = 933,126/x
  3. Step 3: Cross multiply
    435,459x = 933,126 × 933,126
  4. Step 4: Simplify right side
    435,459x = 870,724,131,876
  5. Step 5: Solve for x
    x = 870,724,131,876/435,459
  6. Step 6: Final answer
    x = 1,999,554.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.