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Finding the Third Proportional to 873,930 and 1,180,743

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Solution

The third proportional to 873,930 and 1,180,743 is: 1,595,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,930 : 1,180,743 = 1,180,743 : x
  2. Step 2: Convert to fraction form
    873,930/1,180,743 = 1,180,743/x
  3. Step 3: Cross multiply
    873,930x = 1,180,743 × 1,180,743
  4. Step 4: Simplify right side
    873,930x = 1,394,154,032,049
  5. Step 5: Solve for x
    x = 1,394,154,032,049/873,930
  6. Step 6: Final answer
    x = 1,595,269.68

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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.