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Finding the Third Proportional to 678,264 and 1,473,168

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Solution

The third proportional to 678,264 and 1,473,168 is: 3,199,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,264 : 1,473,168 = 1,473,168 : x
  2. Step 2: Convert to fraction form
    678,264/1,473,168 = 1,473,168/x
  3. Step 3: Cross multiply
    678,264x = 1,473,168 × 1,473,168
  4. Step 4: Simplify right side
    678,264x = 2,170,223,956,224
  5. Step 5: Solve for x
    x = 2,170,223,956,224/678,264
  6. Step 6: Final answer
    x = 3,199,674.40

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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.