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Finding the Third Proportional to 693,420 and 1,491,816

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Solution

The third proportional to 693,420 and 1,491,816 is: 3,209,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,420 : 1,491,816 = 1,491,816 : x
  2. Step 2: Convert to fraction form
    693,420/1,491,816 = 1,491,816/x
  3. Step 3: Cross multiply
    693,420x = 1,491,816 × 1,491,816
  4. Step 4: Simplify right side
    693,420x = 2,225,514,977,856
  5. Step 5: Solve for x
    x = 2,225,514,977,856/693,420
  6. Step 6: Final answer
    x = 3,209,476.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.