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Finding the Third Proportional to 959,008 and 1,440,972

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Solution

The third proportional to 959,008 and 1,440,972 is: 2,165,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,008 : 1,440,972 = 1,440,972 : x
  2. Step 2: Convert to fraction form
    959,008/1,440,972 = 1,440,972/x
  3. Step 3: Cross multiply
    959,008x = 1,440,972 × 1,440,972
  4. Step 4: Simplify right side
    959,008x = 2,076,400,304,784
  5. Step 5: Solve for x
    x = 2,076,400,304,784/959,008
  6. Step 6: Final answer
    x = 2,165,154.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.