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Finding the Third Proportional to 1,830,500.44 and 3,812,508

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Solution

The third proportional to 1,830,500.44 and 3,812,508 is: 7,940,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,500.44 : 3,812,508 = 3,812,508 : x
  2. Step 2: Convert to fraction form
    1,830,500.44/3,812,508 = 3,812,508/x
  3. Step 3: Cross multiply
    1,830,500.44x = 3,812,508 × 3,812,508
  4. Step 4: Simplify right side
    1,830,500.44x = 14,535,217,250,064
  5. Step 5: Solve for x
    x = 14,535,217,250,064/1,830,500.44
  6. Step 6: Final answer
    x = 7,940,570.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.