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Finding the Third Proportional to 500,676 and 1,042,788

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Solution

The third proportional to 500,676 and 1,042,788 is: 2,171,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,676 : 1,042,788 = 1,042,788 : x
  2. Step 2: Convert to fraction form
    500,676/1,042,788 = 1,042,788/x
  3. Step 3: Cross multiply
    500,676x = 1,042,788 × 1,042,788
  4. Step 4: Simplify right side
    500,676x = 1,087,406,812,944
  5. Step 5: Solve for x
    x = 1,087,406,812,944/500,676
  6. Step 6: Final answer
    x = 2,171,877.25

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.