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Finding the Third Proportional to 1,973,248.51 and 2,951,826.36

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Solution

The third proportional to 1,973,248.51 and 2,951,826.36 is: 4,415,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,248.51 : 2,951,826.36 = 2,951,826.36 : x
  2. Step 2: Convert to fraction form
    1,973,248.51/2,951,826.36 = 2,951,826.36/x
  3. Step 3: Cross multiply
    1,973,248.51x = 2,951,826.36 × 2,951,826.36
  4. Step 4: Simplify right side
    1,973,248.51x = 8,713,278,878,961.92
  5. Step 5: Solve for x
    x = 8,713,278,878,961.92/1,973,248.51
  6. Step 6: Final answer
    x = 4,415,702.74

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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.