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Finding the Third Proportional to 746,488 and 1,618,964

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Solution

The third proportional to 746,488 and 1,618,964 is: 3,511,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,488 : 1,618,964 = 1,618,964 : x
  2. Step 2: Convert to fraction form
    746,488/1,618,964 = 1,618,964/x
  3. Step 3: Cross multiply
    746,488x = 1,618,964 × 1,618,964
  4. Step 4: Simplify right side
    746,488x = 2,621,044,433,296
  5. Step 5: Solve for x
    x = 2,621,044,433,296/746,488
  6. Step 6: Final answer
    x = 3,511,167.54

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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.