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Finding the Third Proportional to 498,052 and 1,066,088

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Solution

The third proportional to 498,052 and 1,066,088 is: 2,281,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,052 : 1,066,088 = 1,066,088 : x
  2. Step 2: Convert to fraction form
    498,052/1,066,088 = 1,066,088/x
  3. Step 3: Cross multiply
    498,052x = 1,066,088 × 1,066,088
  4. Step 4: Simplify right side
    498,052x = 1,136,543,623,744
  5. Step 5: Solve for x
    x = 1,136,543,623,744/498,052
  6. Step 6: Final answer
    x = 2,281,977.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.