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Finding the Third Proportional to 665,424 and 1,442,952

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Solution

The third proportional to 665,424 and 1,442,952 is: 3,128,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,424 : 1,442,952 = 1,442,952 : x
  2. Step 2: Convert to fraction form
    665,424/1,442,952 = 1,442,952/x
  3. Step 3: Cross multiply
    665,424x = 1,442,952 × 1,442,952
  4. Step 4: Simplify right side
    665,424x = 2,082,110,474,304
  5. Step 5: Solve for x
    x = 2,082,110,474,304/665,424
  6. Step 6: Final answer
    x = 3,128,998.16

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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.