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Finding the Third Proportional to 665,440 and 1,442,980

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Solution

The third proportional to 665,440 and 1,442,980 is: 3,129,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,440 : 1,442,980 = 1,442,980 : x
  2. Step 2: Convert to fraction form
    665,440/1,442,980 = 1,442,980/x
  3. Step 3: Cross multiply
    665,440x = 1,442,980 × 1,442,980
  4. Step 4: Simplify right side
    665,440x = 2,082,191,280,400
  5. Step 5: Solve for x
    x = 2,082,191,280,400/665,440
  6. Step 6: Final answer
    x = 3,129,044.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.