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Finding the Third Proportional to 446,988 and 972,696

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Solution

The third proportional to 446,988 and 972,696 is: 2,116,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,988 : 972,696 = 972,696 : x
  2. Step 2: Convert to fraction form
    446,988/972,696 = 972,696/x
  3. Step 3: Cross multiply
    446,988x = 972,696 × 972,696
  4. Step 4: Simplify right side
    446,988x = 946,137,508,416
  5. Step 5: Solve for x
    x = 946,137,508,416/446,988
  6. Step 6: Final answer
    x = 2,116,695.55

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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.