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Finding the Third Proportional to 2,893,051.69 and 6,184,689.19

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Solution

The third proportional to 2,893,051.69 and 6,184,689.19 is: 13,221,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893,051.69 : 6,184,689.19 = 6,184,689.19 : x
  2. Step 2: Convert to fraction form
    2,893,051.69/6,184,689.19 = 6,184,689.19/x
  3. Step 3: Cross multiply
    2,893,051.69x = 6,184,689.19 × 6,184,689.19
  4. Step 4: Simplify right side
    2,893,051.69x = 38,250,380,345,979.41
  5. Step 5: Solve for x
    x = 38,250,380,345,979.41/2,893,051.69
  6. Step 6: Final answer
    x = 13,221,464.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.