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Finding the Third Proportional to 1,466,266.50 and 3,066,525

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Solution

The third proportional to 1,466,266.50 and 3,066,525 is: 6,413,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,266.50 : 3,066,525 = 3,066,525 : x
  2. Step 2: Convert to fraction form
    1,466,266.50/3,066,525 = 3,066,525/x
  3. Step 3: Cross multiply
    1,466,266.50x = 3,066,525 × 3,066,525
  4. Step 4: Simplify right side
    1,466,266.50x = 9,403,575,575,625
  5. Step 5: Solve for x
    x = 9,403,575,575,625/1,466,266.50
  6. Step 6: Final answer
    x = 6,413,278.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.