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Finding the Third Proportional to 409,896 and 890,712

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Solution

The third proportional to 409,896 and 890,712 is: 1,935,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,896 : 890,712 = 890,712 : x
  2. Step 2: Convert to fraction form
    409,896/890,712 = 890,712/x
  3. Step 3: Cross multiply
    409,896x = 890,712 × 890,712
  4. Step 4: Simplify right side
    409,896x = 793,367,866,944
  5. Step 5: Solve for x
    x = 793,367,866,944/409,896
  6. Step 6: Final answer
    x = 1,935,534.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.