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Finding the Third Proportional to 4,524,965 and 6,329,541

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Solution

The third proportional to 4,524,965 and 6,329,541 is: 8,853,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524,965 : 6,329,541 = 6,329,541 : x
  2. Step 2: Convert to fraction form
    4,524,965/6,329,541 = 6,329,541/x
  3. Step 3: Cross multiply
    4,524,965x = 6,329,541 × 6,329,541
  4. Step 4: Simplify right side
    4,524,965x = 40,063,089,270,681
  5. Step 5: Solve for x
    x = 40,063,089,270,681/4,524,965
  6. Step 6: Final answer
    x = 8,853,789.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.