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Finding the Third Proportional to 3,782,054.75 and 5,676,955.50

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Solution

The third proportional to 3,782,054.75 and 5,676,955.50 is: 8,521,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,054.75 : 5,676,955.50 = 5,676,955.50 : x
  2. Step 2: Convert to fraction form
    3,782,054.75/5,676,955.50 = 5,676,955.50/x
  3. Step 3: Cross multiply
    3,782,054.75x = 5,676,955.50 × 5,676,955.50
  4. Step 4: Simplify right side
    3,782,054.75x = 32,227,823,748,980.25
  5. Step 5: Solve for x
    x = 32,227,823,748,980.25/3,782,054.75
  6. Step 6: Final answer
    x = 8,521,247.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.