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Finding the Third Proportional to 735,512 and 1,143,580

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Solution

The third proportional to 735,512 and 1,143,580 is: 1,778,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,512 : 1,143,580 = 1,143,580 : x
  2. Step 2: Convert to fraction form
    735,512/1,143,580 = 1,143,580/x
  3. Step 3: Cross multiply
    735,512x = 1,143,580 × 1,143,580
  4. Step 4: Simplify right side
    735,512x = 1,307,775,216,400
  5. Step 5: Solve for x
    x = 1,307,775,216,400/735,512
  6. Step 6: Final answer
    x = 1,778,047.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.