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Finding the Third Proportional to 655,041.38 and 1,415,262.38

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Solution

The third proportional to 655,041.38 and 1,415,262.38 is: 3,057,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,041.38 : 1,415,262.38 = 1,415,262.38 : x
  2. Step 2: Convert to fraction form
    655,041.38/1,415,262.38 = 1,415,262.38/x
  3. Step 3: Cross multiply
    655,041.38x = 1,415,262.38 × 1,415,262.38
  4. Step 4: Simplify right side
    655,041.38x = 2,002,967,590,090.64
  5. Step 5: Solve for x
    x = 2,002,967,590,090.64/655,041.38
  6. Step 6: Final answer
    x = 3,057,772.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.