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Finding the Third Proportional to 446,668 and 972,072

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Solution

The third proportional to 446,668 and 972,072 is: 2,115,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,668 : 972,072 = 972,072 : x
  2. Step 2: Convert to fraction form
    446,668/972,072 = 972,072/x
  3. Step 3: Cross multiply
    446,668x = 972,072 × 972,072
  4. Step 4: Simplify right side
    446,668x = 944,923,973,184
  5. Step 5: Solve for x
    x = 944,923,973,184/446,668
  6. Step 6: Final answer
    x = 2,115,495.12

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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.