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Finding the Third Proportional to 1,143,504.84 and 1,524,466.20

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Solution

The third proportional to 1,143,504.84 and 1,524,466.20 is: 2,032,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,504.84 : 1,524,466.20 = 1,524,466.20 : x
  2. Step 2: Convert to fraction form
    1,143,504.84/1,524,466.20 = 1,524,466.20/x
  3. Step 3: Cross multiply
    1,143,504.84x = 1,524,466.20 × 1,524,466.20
  4. Step 4: Simplify right side
    1,143,504.84x = 2,323,997,180,650.57
  5. Step 5: Solve for x
    x = 2,323,997,180,650.57/1,143,504.84
  6. Step 6: Final answer
    x = 2,032,345.72

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.