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Finding the Third Proportional to 497,029 and 1,082,043

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Solution

The third proportional to 497,029 and 1,082,043 is: 2,355,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,029 : 1,082,043 = 1,082,043 : x
  2. Step 2: Convert to fraction form
    497,029/1,082,043 = 1,082,043/x
  3. Step 3: Cross multiply
    497,029x = 1,082,043 × 1,082,043
  4. Step 4: Simplify right side
    497,029x = 1,170,817,053,849
  5. Step 5: Solve for x
    x = 1,170,817,053,849/497,029
  6. Step 6: Final answer
    x = 2,355,631.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.