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Finding the Third Proportional to 482,496 and 1,029,114

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Solution

The third proportional to 482,496 and 1,029,114 is: 2,194,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,496 : 1,029,114 = 1,029,114 : x
  2. Step 2: Convert to fraction form
    482,496/1,029,114 = 1,029,114/x
  3. Step 3: Cross multiply
    482,496x = 1,029,114 × 1,029,114
  4. Step 4: Simplify right side
    482,496x = 1,059,075,624,996
  5. Step 5: Solve for x
    x = 1,059,075,624,996/482,496
  6. Step 6: Final answer
    x = 2,194,993.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.