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Finding the Third Proportional to 1,209,864 and 1,857,094.50

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Solution

The third proportional to 1,209,864 and 1,857,094.50 is: 2,850,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,864 : 1,857,094.50 = 1,857,094.50 : x
  2. Step 2: Convert to fraction form
    1,209,864/1,857,094.50 = 1,857,094.50/x
  3. Step 3: Cross multiply
    1,209,864x = 1,857,094.50 × 1,857,094.50
  4. Step 4: Simplify right side
    1,209,864x = 3,448,799,981,930.25
  5. Step 5: Solve for x
    x = 3,448,799,981,930.25/1,209,864
  6. Step 6: Final answer
    x = 2,850,568.31

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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.