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Finding the Third Proportional to 690,424 and 1,476,805

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Solution

The third proportional to 690,424 and 1,476,805 is: 3,158,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,424 : 1,476,805 = 1,476,805 : x
  2. Step 2: Convert to fraction form
    690,424/1,476,805 = 1,476,805/x
  3. Step 3: Cross multiply
    690,424x = 1,476,805 × 1,476,805
  4. Step 4: Simplify right side
    690,424x = 2,180,953,008,025
  5. Step 5: Solve for x
    x = 2,180,953,008,025/690,424
  6. Step 6: Final answer
    x = 3,158,860.36

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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.