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Finding the Third Proportional to 700,148.81 and 1,425,974.63

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Solution

The third proportional to 700,148.81 and 1,425,974.63 is: 2,904,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,148.81 : 1,425,974.63 = 1,425,974.63 : x
  2. Step 2: Convert to fraction form
    700,148.81/1,425,974.63 = 1,425,974.63/x
  3. Step 3: Cross multiply
    700,148.81x = 1,425,974.63 × 1,425,974.63
  4. Step 4: Simplify right side
    700,148.81x = 2,033,403,631,143.89
  5. Step 5: Solve for x
    x = 2,033,403,631,143.89/700,148.81
  6. Step 6: Final answer
    x = 2,904,244.92

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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.