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Finding the Third Proportional to 2,786,921.81 and 4,072,848.38

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Solution

The third proportional to 2,786,921.81 and 4,072,848.38 is: 5,952,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786,921.81 : 4,072,848.38 = 4,072,848.38 : x
  2. Step 2: Convert to fraction form
    2,786,921.81/4,072,848.38 = 4,072,848.38/x
  3. Step 3: Cross multiply
    2,786,921.81x = 4,072,848.38 × 4,072,848.38
  4. Step 4: Simplify right side
    2,786,921.81x = 16,588,093,885,740.14
  5. Step 5: Solve for x
    x = 16,588,093,885,740.14/2,786,921.81
  6. Step 6: Final answer
    x = 5,952,120.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.