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Finding the Third Proportional to 675,228 and 1,069,219

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Solution

The third proportional to 675,228 and 1,069,219 is: 1,693,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,228 : 1,069,219 = 1,069,219 : x
  2. Step 2: Convert to fraction form
    675,228/1,069,219 = 1,069,219/x
  3. Step 3: Cross multiply
    675,228x = 1,069,219 × 1,069,219
  4. Step 4: Simplify right side
    675,228x = 1,143,229,269,961
  5. Step 5: Solve for x
    x = 1,143,229,269,961/675,228
  6. Step 6: Final answer
    x = 1,693,101.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.