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Finding the Third Proportional to 4,497,749 and 6,577,935

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Solution

The third proportional to 4,497,749 and 6,577,935 is: 9,620,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497,749 : 6,577,935 = 6,577,935 : x
  2. Step 2: Convert to fraction form
    4,497,749/6,577,935 = 6,577,935/x
  3. Step 3: Cross multiply
    4,497,749x = 6,577,935 × 6,577,935
  4. Step 4: Simplify right side
    4,497,749x = 43,269,228,864,225
  5. Step 5: Solve for x
    x = 43,269,228,864,225/4,497,749
  6. Step 6: Final answer
    x = 9,620,196.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.