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Finding the Third Proportional to 1,043,314.59 and 2,270,349.84

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Solution

The third proportional to 1,043,314.59 and 2,270,349.84 is: 4,940,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,314.59 : 2,270,349.84 = 2,270,349.84 : x
  2. Step 2: Convert to fraction form
    1,043,314.59/2,270,349.84 = 2,270,349.84/x
  3. Step 3: Cross multiply
    1,043,314.59x = 2,270,349.84 × 2,270,349.84
  4. Step 4: Simplify right side
    1,043,314.59x = 5,154,488,413,015.65
  5. Step 5: Solve for x
    x = 5,154,488,413,015.65/1,043,314.59
  6. Step 6: Final answer
    x = 4,940,492.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.