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Finding the Third Proportional to 690,444 and 1,476,836

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Solution

The third proportional to 690,444 and 1,476,836 is: 3,158,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,444 : 1,476,836 = 1,476,836 : x
  2. Step 2: Convert to fraction form
    690,444/1,476,836 = 1,476,836/x
  3. Step 3: Cross multiply
    690,444x = 1,476,836 × 1,476,836
  4. Step 4: Simplify right side
    690,444x = 2,181,044,570,896
  5. Step 5: Solve for x
    x = 2,181,044,570,896/690,444
  6. Step 6: Final answer
    x = 3,158,901.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.