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Finding the Third Proportional to 4,248,439 and 6,407,913

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Solution

The third proportional to 4,248,439 and 6,407,913 is: 9,665,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248,439 : 6,407,913 = 6,407,913 : x
  2. Step 2: Convert to fraction form
    4,248,439/6,407,913 = 6,407,913/x
  3. Step 3: Cross multiply
    4,248,439x = 6,407,913 × 6,407,913
  4. Step 4: Simplify right side
    4,248,439x = 41,061,349,015,569
  5. Step 5: Solve for x
    x = 41,061,349,015,569/4,248,439
  6. Step 6: Final answer
    x = 9,665,043.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.