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Finding the Third Proportional to 873,943 and 1,180,767

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Solution

The third proportional to 873,943 and 1,180,767 is: 1,595,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,943 : 1,180,767 = 1,180,767 : x
  2. Step 2: Convert to fraction form
    873,943/1,180,767 = 1,180,767/x
  3. Step 3: Cross multiply
    873,943x = 1,180,767 × 1,180,767
  4. Step 4: Simplify right side
    873,943x = 1,394,210,708,289
  5. Step 5: Solve for x
    x = 1,394,210,708,289/873,943
  6. Step 6: Final answer
    x = 1,595,310.80

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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.