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Finding the Third Proportional to 851,442 and 1,309,116

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Solution

The third proportional to 851,442 and 1,309,116 is: 2,012,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,442 : 1,309,116 = 1,309,116 : x
  2. Step 2: Convert to fraction form
    851,442/1,309,116 = 1,309,116/x
  3. Step 3: Cross multiply
    851,442x = 1,309,116 × 1,309,116
  4. Step 4: Simplify right side
    851,442x = 1,713,784,701,456
  5. Step 5: Solve for x
    x = 1,713,784,701,456/851,442
  6. Step 6: Final answer
    x = 2,012,802.64

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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.