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Finding the Third Proportional to 873,817 and 1,180,584

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Solution

The third proportional to 873,817 and 1,180,584 is: 1,595,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,817 : 1,180,584 = 1,180,584 : x
  2. Step 2: Convert to fraction form
    873,817/1,180,584 = 1,180,584/x
  3. Step 3: Cross multiply
    873,817x = 1,180,584 × 1,180,584
  4. Step 4: Simplify right side
    873,817x = 1,393,778,581,056
  5. Step 5: Solve for x
    x = 1,393,778,581,056/873,817
  6. Step 6: Final answer
    x = 1,595,046.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.