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Finding the Third Proportional to 1,339,537.50 and 2,021,608.13

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Solution

The third proportional to 1,339,537.50 and 2,021,608.13 is: 3,050,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339,537.50 : 2,021,608.13 = 2,021,608.13 : x
  2. Step 2: Convert to fraction form
    1,339,537.50/2,021,608.13 = 2,021,608.13/x
  3. Step 3: Cross multiply
    1,339,537.50x = 2,021,608.13 × 2,021,608.13
  4. Step 4: Simplify right side
    1,339,537.50x = 4,086,899,411,066.02
  5. Step 5: Solve for x
    x = 4,086,899,411,066.02/1,339,537.50
  6. Step 6: Final answer
    x = 3,050,977.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.