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Finding the Third Proportional to 446,904 and 972,432

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Solution

The third proportional to 446,904 and 972,432 is: 2,115,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,904 : 972,432 = 972,432 : x
  2. Step 2: Convert to fraction form
    446,904/972,432 = 972,432/x
  3. Step 3: Cross multiply
    446,904x = 972,432 × 972,432
  4. Step 4: Simplify right side
    446,904x = 945,623,994,624
  5. Step 5: Solve for x
    x = 945,623,994,624/446,904
  6. Step 6: Final answer
    x = 2,115,944.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.