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Finding the Third Proportional to 462,984 and 1,010,806

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Solution

The third proportional to 462,984 and 1,010,806 is: 2,206,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,984 : 1,010,806 = 1,010,806 : x
  2. Step 2: Convert to fraction form
    462,984/1,010,806 = 1,010,806/x
  3. Step 3: Cross multiply
    462,984x = 1,010,806 × 1,010,806
  4. Step 4: Simplify right side
    462,984x = 1,021,728,769,636
  5. Step 5: Solve for x
    x = 1,021,728,769,636/462,984
  6. Step 6: Final answer
    x = 2,206,833.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.