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Finding the Third Proportional to 4,282,242 and 6,305,076

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Solution

The third proportional to 4,282,242 and 6,305,076 is: 9,283,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,242 : 6,305,076 = 6,305,076 : x
  2. Step 2: Convert to fraction form
    4,282,242/6,305,076 = 6,305,076/x
  3. Step 3: Cross multiply
    4,282,242x = 6,305,076 × 6,305,076
  4. Step 4: Simplify right side
    4,282,242x = 39,753,983,365,776
  5. Step 5: Solve for x
    x = 39,753,983,365,776/4,282,242
  6. Step 6: Final answer
    x = 9,283,450.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.