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Finding the Third Proportional to 617,974 and 1,353,768.50

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Solution

The third proportional to 617,974 and 1,353,768.50 is: 2,965,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,974 : 1,353,768.50 = 1,353,768.50 : x
  2. Step 2: Convert to fraction form
    617,974/1,353,768.50 = 1,353,768.50/x
  3. Step 3: Cross multiply
    617,974x = 1,353,768.50 × 1,353,768.50
  4. Step 4: Simplify right side
    617,974x = 1,832,689,151,592.25
  5. Step 5: Solve for x
    x = 1,832,689,151,592.25/617,974
  6. Step 6: Final answer
    x = 2,965,641.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.