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Finding the Third Proportional to 974,735 and 2,173,593.50

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Solution

The third proportional to 974,735 and 2,173,593.50 is: 4,846,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,735 : 2,173,593.50 = 2,173,593.50 : x
  2. Step 2: Convert to fraction form
    974,735/2,173,593.50 = 2,173,593.50/x
  3. Step 3: Cross multiply
    974,735x = 2,173,593.50 × 2,173,593.50
  4. Step 4: Simplify right side
    974,735x = 4,724,508,703,242.25
  5. Step 5: Solve for x
    x = 4,724,508,703,242.25/974,735
  6. Step 6: Final answer
    x = 4,846,967.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.