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Finding the Third Proportional to 771,840 and 1,645,632

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Solution

The third proportional to 771,840 and 1,645,632 is: 3,508,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,840 : 1,645,632 = 1,645,632 : x
  2. Step 2: Convert to fraction form
    771,840/1,645,632 = 1,645,632/x
  3. Step 3: Cross multiply
    771,840x = 1,645,632 × 1,645,632
  4. Step 4: Simplify right side
    771,840x = 2,708,104,679,424
  5. Step 5: Solve for x
    x = 2,708,104,679,424/771,840
  6. Step 6: Final answer
    x = 3,508,634.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.