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Finding the Third Proportional to 445,394 and 912,652

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Solution

The third proportional to 445,394 and 912,652 is: 1,870,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,394 : 912,652 = 912,652 : x
  2. Step 2: Convert to fraction form
    445,394/912,652 = 912,652/x
  3. Step 3: Cross multiply
    445,394x = 912,652 × 912,652
  4. Step 4: Simplify right side
    445,394x = 832,933,673,104
  5. Step 5: Solve for x
    x = 832,933,673,104/445,394
  6. Step 6: Final answer
    x = 1,870,105.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.