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Finding the Third Proportional to 596,807 and 1,221,189

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Solution

The third proportional to 596,807 and 1,221,189 is: 2,498,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,807 : 1,221,189 = 1,221,189 : x
  2. Step 2: Convert to fraction form
    596,807/1,221,189 = 1,221,189/x
  3. Step 3: Cross multiply
    596,807x = 1,221,189 × 1,221,189
  4. Step 4: Simplify right side
    596,807x = 1,491,302,573,721
  5. Step 5: Solve for x
    x = 1,491,302,573,721/596,807
  6. Step 6: Final answer
    x = 2,498,802.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.