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Finding the Third Proportional to 652,974 and 1,372,047

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Solution

The third proportional to 652,974 and 1,372,047 is: 2,882,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,974 : 1,372,047 = 1,372,047 : x
  2. Step 2: Convert to fraction form
    652,974/1,372,047 = 1,372,047/x
  3. Step 3: Cross multiply
    652,974x = 1,372,047 × 1,372,047
  4. Step 4: Simplify right side
    652,974x = 1,882,512,970,209
  5. Step 5: Solve for x
    x = 1,882,512,970,209/652,974
  6. Step 6: Final answer
    x = 2,882,983.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.