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Finding the Third Proportional to 437,165.44 and 945,432.42

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Solution

The third proportional to 437,165.44 and 945,432.42 is: 2,044,632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,165.44 : 945,432.42 = 945,432.42 : x
  2. Step 2: Convert to fraction form
    437,165.44/945,432.42 = 945,432.42/x
  3. Step 3: Cross multiply
    437,165.44x = 945,432.42 × 945,432.42
  4. Step 4: Simplify right side
    437,165.44x = 893,842,464,332.43
  5. Step 5: Solve for x
    x = 893,842,464,332.43/437,165.44
  6. Step 6: Final answer
    x = 2,044,632.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.