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Finding the Third Proportional to 763,840 and 1,674,573

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Solution

The third proportional to 763,840 and 1,674,573 is: 3,671,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,840 : 1,674,573 = 1,674,573 : x
  2. Step 2: Convert to fraction form
    763,840/1,674,573 = 1,674,573/x
  3. Step 3: Cross multiply
    763,840x = 1,674,573 × 1,674,573
  4. Step 4: Simplify right side
    763,840x = 2,804,194,732,329
  5. Step 5: Solve for x
    x = 2,804,194,732,329/763,840
  6. Step 6: Final answer
    x = 3,671,180.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.