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Finding the Third Proportional to 690,206 and 1,476,368

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Solution

The third proportional to 690,206 and 1,476,368 is: 3,157,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,206 : 1,476,368 = 1,476,368 : x
  2. Step 2: Convert to fraction form
    690,206/1,476,368 = 1,476,368/x
  3. Step 3: Cross multiply
    690,206x = 1,476,368 × 1,476,368
  4. Step 4: Simplify right side
    690,206x = 2,179,662,471,424
  5. Step 5: Solve for x
    x = 2,179,662,471,424/690,206
  6. Step 6: Final answer
    x = 3,157,988.30

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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.