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Finding the Third Proportional to 468,010 and 1,010,738

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Solution

The third proportional to 468,010 and 1,010,738 is: 2,182,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,010 : 1,010,738 = 1,010,738 : x
  2. Step 2: Convert to fraction form
    468,010/1,010,738 = 1,010,738/x
  3. Step 3: Cross multiply
    468,010x = 1,010,738 × 1,010,738
  4. Step 4: Simplify right side
    468,010x = 1,021,591,304,644
  5. Step 5: Solve for x
    x = 1,021,591,304,644/468,010
  6. Step 6: Final answer
    x = 2,182,840.76

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