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Finding the Third Proportional to 976,884 and 2,111,716.50

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Solution

The third proportional to 976,884 and 2,111,716.50 is: 4,564,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,884 : 2,111,716.50 = 2,111,716.50 : x
  2. Step 2: Convert to fraction form
    976,884/2,111,716.50 = 2,111,716.50/x
  3. Step 3: Cross multiply
    976,884x = 2,111,716.50 × 2,111,716.50
  4. Step 4: Simplify right side
    976,884x = 4,459,346,576,372.25
  5. Step 5: Solve for x
    x = 4,459,346,576,372.25/976,884
  6. Step 6: Final answer
    x = 4,564,868.07

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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.