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Finding the Third Proportional to 749,052 and 1,173,780

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Solution

The third proportional to 749,052 and 1,173,780 is: 1,839,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,052 : 1,173,780 = 1,173,780 : x
  2. Step 2: Convert to fraction form
    749,052/1,173,780 = 1,173,780/x
  3. Step 3: Cross multiply
    749,052x = 1,173,780 × 1,173,780
  4. Step 4: Simplify right side
    749,052x = 1,377,759,488,400
  5. Step 5: Solve for x
    x = 1,377,759,488,400/749,052
  6. Step 6: Final answer
    x = 1,839,337.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.