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Finding the Third Proportional to 735,156 and 1,170,558

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Solution

The third proportional to 735,156 and 1,170,558 is: 1,863,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,156 : 1,170,558 = 1,170,558 : x
  2. Step 2: Convert to fraction form
    735,156/1,170,558 = 1,170,558/x
  3. Step 3: Cross multiply
    735,156x = 1,170,558 × 1,170,558
  4. Step 4: Simplify right side
    735,156x = 1,370,206,031,364
  5. Step 5: Solve for x
    x = 1,370,206,031,364/735,156
  6. Step 6: Final answer
    x = 1,863,830.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.