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Finding the Third Proportional to 446,774 and 972,352

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Solution

The third proportional to 446,774 and 972,352 is: 2,116,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,774 : 972,352 = 972,352 : x
  2. Step 2: Convert to fraction form
    446,774/972,352 = 972,352/x
  3. Step 3: Cross multiply
    446,774x = 972,352 × 972,352
  4. Step 4: Simplify right side
    446,774x = 945,468,411,904
  5. Step 5: Solve for x
    x = 945,468,411,904/446,774
  6. Step 6: Final answer
    x = 2,116,211.80

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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.