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Finding the Third Proportional to 700,136.16 and 1,425,954.38

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Solution

The third proportional to 700,136.16 and 1,425,954.38 is: 2,904,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,136.16 : 1,425,954.38 = 1,425,954.38 : x
  2. Step 2: Convert to fraction form
    700,136.16/1,425,954.38 = 1,425,954.38/x
  3. Step 3: Cross multiply
    700,136.16x = 1,425,954.38 × 1,425,954.38
  4. Step 4: Simplify right side
    700,136.16x = 2,033,345,879,581.64
  5. Step 5: Solve for x
    x = 2,033,345,879,581.64/700,136.16
  6. Step 6: Final answer
    x = 2,904,214.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.