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Finding the Third Proportional to 678,354 and 1,473,252

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Solution

The third proportional to 678,354 and 1,473,252 is: 3,199,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,354 : 1,473,252 = 1,473,252 : x
  2. Step 2: Convert to fraction form
    678,354/1,473,252 = 1,473,252/x
  3. Step 3: Cross multiply
    678,354x = 1,473,252 × 1,473,252
  4. Step 4: Simplify right side
    678,354x = 2,170,471,455,504
  5. Step 5: Solve for x
    x = 2,170,471,455,504/678,354
  6. Step 6: Final answer
    x = 3,199,614.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.