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Finding the Third Proportional to 405,756 and 875,664

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Solution

The third proportional to 405,756 and 875,664 is: 1,889,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,756 : 875,664 = 875,664 : x
  2. Step 2: Convert to fraction form
    405,756/875,664 = 875,664/x
  3. Step 3: Cross multiply
    405,756x = 875,664 × 875,664
  4. Step 4: Simplify right side
    405,756x = 766,787,440,896
  5. Step 5: Solve for x
    x = 766,787,440,896/405,756
  6. Step 6: Final answer
    x = 1,889,774.74

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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.