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Finding the Third Proportional to 653,209 and 1,332,662

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Solution

The third proportional to 653,209 and 1,332,662 is: 2,718,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,209 : 1,332,662 = 1,332,662 : x
  2. Step 2: Convert to fraction form
    653,209/1,332,662 = 1,332,662/x
  3. Step 3: Cross multiply
    653,209x = 1,332,662 × 1,332,662
  4. Step 4: Simplify right side
    653,209x = 1,775,988,006,244
  5. Step 5: Solve for x
    x = 1,775,988,006,244/653,209
  6. Step 6: Final answer
    x = 2,718,866.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.