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Finding the Third Proportional to 470,003 and 964,888

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Solution

The third proportional to 470,003 and 964,888 is: 1,980,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,003 : 964,888 = 964,888 : x
  2. Step 2: Convert to fraction form
    470,003/964,888 = 964,888/x
  3. Step 3: Cross multiply
    470,003x = 964,888 × 964,888
  4. Step 4: Simplify right side
    470,003x = 931,008,852,544
  5. Step 5: Solve for x
    x = 931,008,852,544/470,003
  6. Step 6: Final answer
    x = 1,980,857.26

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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.