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Finding the Third Proportional to 690,205 and 1,476,366

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Solution

The third proportional to 690,205 and 1,476,366 is: 3,157,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,205 : 1,476,366 = 1,476,366 : x
  2. Step 2: Convert to fraction form
    690,205/1,476,366 = 1,476,366/x
  3. Step 3: Cross multiply
    690,205x = 1,476,366 × 1,476,366
  4. Step 4: Simplify right side
    690,205x = 2,179,656,565,956
  5. Step 5: Solve for x
    x = 2,179,656,565,956/690,205
  6. Step 6: Final answer
    x = 3,157,984.32

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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.