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Finding the Third Proportional to 976,875 and 2,082,783

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Solution

The third proportional to 976,875 and 2,082,783 is: 4,440,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,875 : 2,082,783 = 2,082,783 : x
  2. Step 2: Convert to fraction form
    976,875/2,082,783 = 2,082,783/x
  3. Step 3: Cross multiply
    976,875x = 2,082,783 × 2,082,783
  4. Step 4: Simplify right side
    976,875x = 4,337,985,025,089
  5. Step 5: Solve for x
    x = 4,337,985,025,089/976,875
  6. Step 6: Final answer
    x = 4,440,675.65

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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.