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Finding the Third Proportional to 537,410 and 1,180,804

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Solution

The third proportional to 537,410 and 1,180,804 is: 2,594,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,410 : 1,180,804 = 1,180,804 : x
  2. Step 2: Convert to fraction form
    537,410/1,180,804 = 1,180,804/x
  3. Step 3: Cross multiply
    537,410x = 1,180,804 × 1,180,804
  4. Step 4: Simplify right side
    537,410x = 1,394,298,086,416
  5. Step 5: Solve for x
    x = 1,394,298,086,416/537,410
  6. Step 6: Final answer
    x = 2,594,477.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.