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Finding the Third Proportional to 779,048 and 1,196,713

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Solution

The third proportional to 779,048 and 1,196,713 is: 1,838,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,048 : 1,196,713 = 1,196,713 : x
  2. Step 2: Convert to fraction form
    779,048/1,196,713 = 1,196,713/x
  3. Step 3: Cross multiply
    779,048x = 1,196,713 × 1,196,713
  4. Step 4: Simplify right side
    779,048x = 1,432,122,004,369
  5. Step 5: Solve for x
    x = 1,432,122,004,369/779,048
  6. Step 6: Final answer
    x = 1,838,297.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.