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Finding the Third Proportional to 677,004 and 1,459,806

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Solution

The third proportional to 677,004 and 1,459,806 is: 3,147,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,004 : 1,459,806 = 1,459,806 : x
  2. Step 2: Convert to fraction form
    677,004/1,459,806 = 1,459,806/x
  3. Step 3: Cross multiply
    677,004x = 1,459,806 × 1,459,806
  4. Step 4: Simplify right side
    677,004x = 2,131,033,557,636
  5. Step 5: Solve for x
    x = 2,131,033,557,636/677,004
  6. Step 6: Final answer
    x = 3,147,741.46

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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.