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Finding the Third Proportional to 412,954 and 907,076

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Solution

The third proportional to 412,954 and 907,076 is: 1,992,441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,954 : 907,076 = 907,076 : x
  2. Step 2: Convert to fraction form
    412,954/907,076 = 907,076/x
  3. Step 3: Cross multiply
    412,954x = 907,076 × 907,076
  4. Step 4: Simplify right side
    412,954x = 822,786,869,776
  5. Step 5: Solve for x
    x = 822,786,869,776/412,954
  6. Step 6: Final answer
    x = 1,992,441.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.