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Finding the Third Proportional to 658,961 and 1,446,226

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Solution

The third proportional to 658,961 and 1,446,226 is: 3,174,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,961 : 1,446,226 = 1,446,226 : x
  2. Step 2: Convert to fraction form
    658,961/1,446,226 = 1,446,226/x
  3. Step 3: Cross multiply
    658,961x = 1,446,226 × 1,446,226
  4. Step 4: Simplify right side
    658,961x = 2,091,569,643,076
  5. Step 5: Solve for x
    x = 2,091,569,643,076/658,961
  6. Step 6: Final answer
    x = 3,174,041.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.