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Finding the Third Proportional to 4,576,424.06 and 6,215,349.38

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Solution

The third proportional to 4,576,424.06 and 6,215,349.38 is: 8,441,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576,424.06 : 6,215,349.38 = 6,215,349.38 : x
  2. Step 2: Convert to fraction form
    4,576,424.06/6,215,349.38 = 6,215,349.38/x
  3. Step 3: Cross multiply
    4,576,424.06x = 6,215,349.38 × 6,215,349.38
  4. Step 4: Simplify right side
    4,576,424.06x = 38,630,567,853,312.89
  5. Step 5: Solve for x
    x = 38,630,567,853,312.89/4,576,424.06
  6. Step 6: Final answer
    x = 8,441,212.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.