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Finding the Third Proportional to 408,086 and 882,658

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Solution

The third proportional to 408,086 and 882,658 is: 1,909,120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,086 : 882,658 = 882,658 : x
  2. Step 2: Convert to fraction form
    408,086/882,658 = 882,658/x
  3. Step 3: Cross multiply
    408,086x = 882,658 × 882,658
  4. Step 4: Simplify right side
    408,086x = 779,085,144,964
  5. Step 5: Solve for x
    x = 779,085,144,964/408,086
  6. Step 6: Final answer
    x = 1,909,120.00

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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.