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Finding the Third Proportional to 771,744 and 1,654,236

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Solution

The third proportional to 771,744 and 1,654,236 is: 3,545,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,744 : 1,654,236 = 1,654,236 : x
  2. Step 2: Convert to fraction form
    771,744/1,654,236 = 1,654,236/x
  3. Step 3: Cross multiply
    771,744x = 1,654,236 × 1,654,236
  4. Step 4: Simplify right side
    771,744x = 2,736,496,743,696
  5. Step 5: Solve for x
    x = 2,736,496,743,696/771,744
  6. Step 6: Final answer
    x = 3,545,860.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.