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Finding the Third Proportional to 1,474,821.75 and 3,217,746

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Solution

The third proportional to 1,474,821.75 and 3,217,746 is: 7,020,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,821.75 : 3,217,746 = 3,217,746 : x
  2. Step 2: Convert to fraction form
    1,474,821.75/3,217,746 = 3,217,746/x
  3. Step 3: Cross multiply
    1,474,821.75x = 3,217,746 × 3,217,746
  4. Step 4: Simplify right side
    1,474,821.75x = 10,353,889,320,516
  5. Step 5: Solve for x
    x = 10,353,889,320,516/1,474,821.75
  6. Step 6: Final answer
    x = 7,020,434.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.