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Finding the Third Proportional to 446,784 and 972,480

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Solution

The third proportional to 446,784 and 972,480 is: 2,116,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,784 : 972,480 = 972,480 : x
  2. Step 2: Convert to fraction form
    446,784/972,480 = 972,480/x
  3. Step 3: Cross multiply
    446,784x = 972,480 × 972,480
  4. Step 4: Simplify right side
    446,784x = 945,717,350,400
  5. Step 5: Solve for x
    x = 945,717,350,400/446,784
  6. Step 6: Final answer
    x = 2,116,721.62

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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.