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Finding the Third Proportional to 492,468 and 1,078,357

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Solution

The third proportional to 492,468 and 1,078,357 is: 2,361,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,468 : 1,078,357 = 1,078,357 : x
  2. Step 2: Convert to fraction form
    492,468/1,078,357 = 1,078,357/x
  3. Step 3: Cross multiply
    492,468x = 1,078,357 × 1,078,357
  4. Step 4: Simplify right side
    492,468x = 1,162,853,819,449
  5. Step 5: Solve for x
    x = 1,162,853,819,449/492,468
  6. Step 6: Final answer
    x = 2,361,277.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.