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Finding the Third Proportional to 974,748.94 and 2,173,623.75

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Solution

The third proportional to 974,748.94 and 2,173,623.75 is: 4,847,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,748.94 : 2,173,623.75 = 2,173,623.75 : x
  2. Step 2: Convert to fraction form
    974,748.94/2,173,623.75 = 2,173,623.75/x
  3. Step 3: Cross multiply
    974,748.94x = 2,173,623.75 × 2,173,623.75
  4. Step 4: Simplify right side
    974,748.94x = 4,724,640,206,564.06
  5. Step 5: Solve for x
    x = 4,724,640,206,564.06/974,748.94
  6. Step 6: Final answer
    x = 4,847,032.94

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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.