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Finding the Third Proportional to 468,020 and 1,010,756

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Solution

The third proportional to 468,020 and 1,010,756 is: 2,182,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,020 : 1,010,756 = 1,010,756 : x
  2. Step 2: Convert to fraction form
    468,020/1,010,756 = 1,010,756/x
  3. Step 3: Cross multiply
    468,020x = 1,010,756 × 1,010,756
  4. Step 4: Simplify right side
    468,020x = 1,021,627,691,536
  5. Step 5: Solve for x
    x = 1,021,627,691,536/468,020
  6. Step 6: Final answer
    x = 2,182,871.87

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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.