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Finding the Third Proportional to 882,414 and 1,242,621

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Solution

The third proportional to 882,414 and 1,242,621 is: 1,749,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,414 : 1,242,621 = 1,242,621 : x
  2. Step 2: Convert to fraction form
    882,414/1,242,621 = 1,242,621/x
  3. Step 3: Cross multiply
    882,414x = 1,242,621 × 1,242,621
  4. Step 4: Simplify right side
    882,414x = 1,544,106,949,641
  5. Step 5: Solve for x
    x = 1,544,106,949,641/882,414
  6. Step 6: Final answer
    x = 1,749,866.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.