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Finding the Third Proportional to 1,578,592 and 3,423,296

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Solution

The third proportional to 1,578,592 and 3,423,296 is: 7,423,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,592 : 3,423,296 = 3,423,296 : x
  2. Step 2: Convert to fraction form
    1,578,592/3,423,296 = 3,423,296/x
  3. Step 3: Cross multiply
    1,578,592x = 3,423,296 × 3,423,296
  4. Step 4: Simplify right side
    1,578,592x = 11,718,955,503,616
  5. Step 5: Solve for x
    x = 11,718,955,503,616/1,578,592
  6. Step 6: Final answer
    x = 7,423,675.97

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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.