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Finding the Third Proportional to 547,840 and 1,138,688

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Solution

The third proportional to 547,840 and 1,138,688 is: 2,366,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,840 : 1,138,688 = 1,138,688 : x
  2. Step 2: Convert to fraction form
    547,840/1,138,688 = 1,138,688/x
  3. Step 3: Cross multiply
    547,840x = 1,138,688 × 1,138,688
  4. Step 4: Simplify right side
    547,840x = 1,296,610,361,344
  5. Step 5: Solve for x
    x = 1,296,610,361,344/547,840
  6. Step 6: Final answer
    x = 2,366,768.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.