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Finding the Third Proportional to 470,475.84 and 1,001,640.94

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Solution

The third proportional to 470,475.84 and 1,001,640.94 is: 2,132,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,475.84 : 1,001,640.94 = 1,001,640.94 : x
  2. Step 2: Convert to fraction form
    470,475.84/1,001,640.94 = 1,001,640.94/x
  3. Step 3: Cross multiply
    470,475.84x = 1,001,640.94 × 1,001,640.94
  4. Step 4: Simplify right side
    470,475.84x = 1,003,284,567,675.88
  5. Step 5: Solve for x
    x = 1,003,284,567,675.88/470,475.84
  6. Step 6: Final answer
    x = 2,132,489.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.