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Finding the Third Proportional to 408,106 and 881,788

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Solution

The third proportional to 408,106 and 881,788 is: 1,905,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,106 : 881,788 = 881,788 : x
  2. Step 2: Convert to fraction form
    408,106/881,788 = 881,788/x
  3. Step 3: Cross multiply
    408,106x = 881,788 × 881,788
  4. Step 4: Simplify right side
    408,106x = 777,550,076,944
  5. Step 5: Solve for x
    x = 777,550,076,944/408,106
  6. Step 6: Final answer
    x = 1,905,265.00

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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.