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Finding the Third Proportional to 477,203.91 and 987,624.56

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Solution

The third proportional to 477,203.91 and 987,624.56 is: 2,043,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,203.91 : 987,624.56 = 987,624.56 : x
  2. Step 2: Convert to fraction form
    477,203.91/987,624.56 = 987,624.56/x
  3. Step 3: Cross multiply
    477,203.91x = 987,624.56 × 987,624.56
  4. Step 4: Simplify right side
    477,203.91x = 975,402,276,453.32
  5. Step 5: Solve for x
    x = 975,402,276,453.32/477,203.91
  6. Step 6: Final answer
    x = 2,043,994.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.