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Finding the Third Proportional to 759,564 and 1,180,818

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Solution

The third proportional to 759,564 and 1,180,818 is: 1,835,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,564 : 1,180,818 = 1,180,818 : x
  2. Step 2: Convert to fraction form
    759,564/1,180,818 = 1,180,818/x
  3. Step 3: Cross multiply
    759,564x = 1,180,818 × 1,180,818
  4. Step 4: Simplify right side
    759,564x = 1,394,331,149,124
  5. Step 5: Solve for x
    x = 1,394,331,149,124/759,564
  6. Step 6: Final answer
    x = 1,835,699.36

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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.