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Finding the Third Proportional to 463,354 and 1,001,652

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Solution

The third proportional to 463,354 and 1,001,652 is: 2,165,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,354 : 1,001,652 = 1,001,652 : x
  2. Step 2: Convert to fraction form
    463,354/1,001,652 = 1,001,652/x
  3. Step 3: Cross multiply
    463,354x = 1,001,652 × 1,001,652
  4. Step 4: Simplify right side
    463,354x = 1,003,306,729,104
  5. Step 5: Solve for x
    x = 1,003,306,729,104/463,354
  6. Step 6: Final answer
    x = 2,165,313.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.