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Finding the Third Proportional to 1,505,199.38 and 2,145,686.63

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Solution

The third proportional to 1,505,199.38 and 2,145,686.63 is: 3,058,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,199.38 : 2,145,686.63 = 2,145,686.63 : x
  2. Step 2: Convert to fraction form
    1,505,199.38/2,145,686.63 = 2,145,686.63/x
  3. Step 3: Cross multiply
    1,505,199.38x = 2,145,686.63 × 2,145,686.63
  4. Step 4: Simplify right side
    1,505,199.38x = 4,603,971,092,703.89
  5. Step 5: Solve for x
    x = 4,603,971,092,703.89/1,505,199.38
  6. Step 6: Final answer
    x = 3,058,711.80

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.