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Finding the Third Proportional to 605,108.09 and 1,316,675.45

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Solution

The third proportional to 605,108.09 and 1,316,675.45 is: 2,864,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,108.09 : 1,316,675.45 = 1,316,675.45 : x
  2. Step 2: Convert to fraction form
    605,108.09/1,316,675.45 = 1,316,675.45/x
  3. Step 3: Cross multiply
    605,108.09x = 1,316,675.45 × 1,316,675.45
  4. Step 4: Simplify right side
    605,108.09x = 1,733,634,234,717.93
  5. Step 5: Solve for x
    x = 1,733,634,234,717.93/605,108.09
  6. Step 6: Final answer
    x = 2,864,999.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.