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Finding the Third Proportional to 673,517 and 1,470,484.50

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Solution

The third proportional to 673,517 and 1,470,484.50 is: 3,210,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,517 : 1,470,484.50 = 1,470,484.50 : x
  2. Step 2: Convert to fraction form
    673,517/1,470,484.50 = 1,470,484.50/x
  3. Step 3: Cross multiply
    673,517x = 1,470,484.50 × 1,470,484.50
  4. Step 4: Simplify right side
    673,517x = 2,162,324,664,740.25
  5. Step 5: Solve for x
    x = 2,162,324,664,740.25/673,517
  6. Step 6: Final answer
    x = 3,210,497.53

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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.