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Finding the Third Proportional to 851,709 and 1,309,138

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Solution

The third proportional to 851,709 and 1,309,138 is: 2,012,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,709 : 1,309,138 = 1,309,138 : x
  2. Step 2: Convert to fraction form
    851,709/1,309,138 = 1,309,138/x
  3. Step 3: Cross multiply
    851,709x = 1,309,138 × 1,309,138
  4. Step 4: Simplify right side
    851,709x = 1,713,842,303,044
  5. Step 5: Solve for x
    x = 1,713,842,303,044/851,709
  6. Step 6: Final answer
    x = 2,012,239.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.