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Finding the Third Proportional to 1,209,856.50 and 1,857,081.94

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Solution

The third proportional to 1,209,856.50 and 1,857,081.94 is: 2,850,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,856.50 : 1,857,081.94 = 1,857,081.94 : x
  2. Step 2: Convert to fraction form
    1,209,856.50/1,857,081.94 = 1,857,081.94/x
  3. Step 3: Cross multiply
    1,209,856.50x = 1,857,081.94 × 1,857,081.94
  4. Step 4: Simplify right side
    1,209,856.50x = 3,448,753,322,588.75
  5. Step 5: Solve for x
    x = 3,448,753,322,588.75/1,209,856.50
  6. Step 6: Final answer
    x = 2,850,547.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.