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Finding the Third Proportional to 470,006 and 964,892

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Solution

The third proportional to 470,006 and 964,892 is: 1,980,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,006 : 964,892 = 964,892 : x
  2. Step 2: Convert to fraction form
    470,006/964,892 = 964,892/x
  3. Step 3: Cross multiply
    470,006x = 964,892 × 964,892
  4. Step 4: Simplify right side
    470,006x = 931,016,571,664
  5. Step 5: Solve for x
    x = 931,016,571,664/470,006
  6. Step 6: Final answer
    x = 1,980,861.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.