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Finding the Third Proportional to 621,456 and 1,346,592

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Solution

The third proportional to 621,456 and 1,346,592 is: 2,917,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,456 : 1,346,592 = 1,346,592 : x
  2. Step 2: Convert to fraction form
    621,456/1,346,592 = 1,346,592/x
  3. Step 3: Cross multiply
    621,456x = 1,346,592 × 1,346,592
  4. Step 4: Simplify right side
    621,456x = 1,813,310,014,464
  5. Step 5: Solve for x
    x = 1,813,310,014,464/621,456
  6. Step 6: Final answer
    x = 2,917,841.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.