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Finding the Third Proportional to 1,956,032.30 and 4,201,295.34

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Solution

The third proportional to 1,956,032.30 and 4,201,295.34 is: 9,023,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956,032.30 : 4,201,295.34 = 4,201,295.34 : x
  2. Step 2: Convert to fraction form
    1,956,032.30/4,201,295.34 = 4,201,295.34/x
  3. Step 3: Cross multiply
    1,956,032.30x = 4,201,295.34 × 4,201,295.34
  4. Step 4: Simplify right side
    1,956,032.30x = 17,650,882,565,415.43
  5. Step 5: Solve for x
    x = 17,650,882,565,415.43/1,956,032.30
  6. Step 6: Final answer
    x = 9,023,819.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.