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Finding the Third Proportional to 851,648 and 1,335,984

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Solution

The third proportional to 851,648 and 1,335,984 is: 2,095,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,648 : 1,335,984 = 1,335,984 : x
  2. Step 2: Convert to fraction form
    851,648/1,335,984 = 1,335,984/x
  3. Step 3: Cross multiply
    851,648x = 1,335,984 × 1,335,984
  4. Step 4: Simplify right side
    851,648x = 1,784,853,248,256
  5. Step 5: Solve for x
    x = 1,784,853,248,256/851,648
  6. Step 6: Final answer
    x = 2,095,764.03

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.