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Finding the Third Proportional to 675,232 and 1,069,225

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Solution

The third proportional to 675,232 and 1,069,225 is: 1,693,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,232 : 1,069,225 = 1,069,225 : x
  2. Step 2: Convert to fraction form
    675,232/1,069,225 = 1,069,225/x
  3. Step 3: Cross multiply
    675,232x = 1,069,225 × 1,069,225
  4. Step 4: Simplify right side
    675,232x = 1,143,242,100,625
  5. Step 5: Solve for x
    x = 1,143,242,100,625/675,232
  6. Step 6: Final answer
    x = 1,693,110.07

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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.