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Finding the Third Proportional to 470,007 and 964,896

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Solution

The third proportional to 470,007 and 964,896 is: 1,980,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,007 : 964,896 = 964,896 : x
  2. Step 2: Convert to fraction form
    470,007/964,896 = 964,896/x
  3. Step 3: Cross multiply
    470,007x = 964,896 × 964,896
  4. Step 4: Simplify right side
    470,007x = 931,024,290,816
  5. Step 5: Solve for x
    x = 931,024,290,816/470,007
  6. Step 6: Final answer
    x = 1,980,873.24

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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.