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Finding the Third Proportional to 402,048 and 845,424

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Solution

The third proportional to 402,048 and 845,424 is: 1,777,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,048 : 845,424 = 845,424 : x
  2. Step 2: Convert to fraction form
    402,048/845,424 = 845,424/x
  3. Step 3: Cross multiply
    402,048x = 845,424 × 845,424
  4. Step 4: Simplify right side
    402,048x = 714,741,739,776
  5. Step 5: Solve for x
    x = 714,741,739,776/402,048
  6. Step 6: Final answer
    x = 1,777,752.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.