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Finding the Third Proportional to 1,417,884.75 and 2,179,390.50

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Solution

The third proportional to 1,417,884.75 and 2,179,390.50 is: 3,349,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,884.75 : 2,179,390.50 = 2,179,390.50 : x
  2. Step 2: Convert to fraction form
    1,417,884.75/2,179,390.50 = 2,179,390.50/x
  3. Step 3: Cross multiply
    1,417,884.75x = 2,179,390.50 × 2,179,390.50
  4. Step 4: Simplify right side
    1,417,884.75x = 4,749,742,951,490.25
  5. Step 5: Solve for x
    x = 4,749,742,951,490.25/1,417,884.75
  6. Step 6: Final answer
    x = 3,349,879.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.