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Finding the Third Proportional to 976,635 and 2,111,190

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Solution

The third proportional to 976,635 and 2,111,190 is: 4,563,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,635 : 2,111,190 = 2,111,190 : x
  2. Step 2: Convert to fraction form
    976,635/2,111,190 = 2,111,190/x
  3. Step 3: Cross multiply
    976,635x = 2,111,190 × 2,111,190
  4. Step 4: Simplify right side
    976,635x = 4,457,123,216,100
  5. Step 5: Solve for x
    x = 4,457,123,216,100/976,635
  6. Step 6: Final answer
    x = 4,563,755.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.