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Finding the Third Proportional to 537,381 and 1,158,678

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Solution

The third proportional to 537,381 and 1,158,678 is: 2,498,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,381 : 1,158,678 = 1,158,678 : x
  2. Step 2: Convert to fraction form
    537,381/1,158,678 = 1,158,678/x
  3. Step 3: Cross multiply
    537,381x = 1,158,678 × 1,158,678
  4. Step 4: Simplify right side
    537,381x = 1,342,534,707,684
  5. Step 5: Solve for x
    x = 1,342,534,707,684/537,381
  6. Step 6: Final answer
    x = 2,498,292.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.