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Finding the Third Proportional to 4,282,269 and 6,305,106

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Solution

The third proportional to 4,282,269 and 6,305,106 is: 9,283,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,269 : 6,305,106 = 6,305,106 : x
  2. Step 2: Convert to fraction form
    4,282,269/6,305,106 = 6,305,106/x
  3. Step 3: Cross multiply
    4,282,269x = 6,305,106 × 6,305,106
  4. Step 4: Simplify right side
    4,282,269x = 39,754,361,671,236
  5. Step 5: Solve for x
    x = 39,754,361,671,236/4,282,269
  6. Step 6: Final answer
    x = 9,283,480.71

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