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Finding the Third Proportional to 468,783 and 1,010,573

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Solution

The third proportional to 468,783 and 1,010,573 is: 2,178,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,783 : 1,010,573 = 1,010,573 : x
  2. Step 2: Convert to fraction form
    468,783/1,010,573 = 1,010,573/x
  3. Step 3: Cross multiply
    468,783x = 1,010,573 × 1,010,573
  4. Step 4: Simplify right side
    468,783x = 1,021,257,788,329
  5. Step 5: Solve for x
    x = 1,021,257,788,329/468,783
  6. Step 6: Final answer
    x = 2,178,529.91

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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.