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Finding the Third Proportional to 498,899 and 1,130,972

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Solution

The third proportional to 498,899 and 1,130,972 is: 2,563,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,899 : 1,130,972 = 1,130,972 : x
  2. Step 2: Convert to fraction form
    498,899/1,130,972 = 1,130,972/x
  3. Step 3: Cross multiply
    498,899x = 1,130,972 × 1,130,972
  4. Step 4: Simplify right side
    498,899x = 1,279,097,664,784
  5. Step 5: Solve for x
    x = 1,279,097,664,784/498,899
  6. Step 6: Final answer
    x = 2,563,840.91

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.