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Finding the Third Proportional to 702,144 and 1,059,400

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Solution

The third proportional to 702,144 and 1,059,400 is: 1,598,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,144 : 1,059,400 = 1,059,400 : x
  2. Step 2: Convert to fraction form
    702,144/1,059,400 = 1,059,400/x
  3. Step 3: Cross multiply
    702,144x = 1,059,400 × 1,059,400
  4. Step 4: Simplify right side
    702,144x = 1,122,328,360,000
  5. Step 5: Solve for x
    x = 1,122,328,360,000/702,144
  6. Step 6: Final answer
    x = 1,598,430.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.