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Finding the Third Proportional to 676,612 and 1,473,768

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Solution

The third proportional to 676,612 and 1,473,768 is: 3,210,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,612 : 1,473,768 = 1,473,768 : x
  2. Step 2: Convert to fraction form
    676,612/1,473,768 = 1,473,768/x
  3. Step 3: Cross multiply
    676,612x = 1,473,768 × 1,473,768
  4. Step 4: Simplify right side
    676,612x = 2,171,992,117,824
  5. Step 5: Solve for x
    x = 2,171,992,117,824/676,612
  6. Step 6: Final answer
    x = 3,210,099.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.