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Finding the Third Proportional to 976,738.50 and 2,111,383.13

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Solution

The third proportional to 976,738.50 and 2,111,383.13 is: 4,564,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,738.50 : 2,111,383.13 = 2,111,383.13 : x
  2. Step 2: Convert to fraction form
    976,738.50/2,111,383.13 = 2,111,383.13/x
  3. Step 3: Cross multiply
    976,738.50x = 2,111,383.13 × 2,111,383.13
  4. Step 4: Simplify right side
    976,738.50x = 4,457,938,700,534.77
  5. Step 5: Solve for x
    x = 4,457,938,700,534.77/976,738.50
  6. Step 6: Final answer
    x = 4,564,106.67

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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.