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Finding the Third Proportional to 482,063 and 920,386

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Solution

The third proportional to 482,063 and 920,386 is: 1,757,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,063 : 920,386 = 920,386 : x
  2. Step 2: Convert to fraction form
    482,063/920,386 = 920,386/x
  3. Step 3: Cross multiply
    482,063x = 920,386 × 920,386
  4. Step 4: Simplify right side
    482,063x = 847,110,388,996
  5. Step 5: Solve for x
    x = 847,110,388,996/482,063
  6. Step 6: Final answer
    x = 1,757,260.75

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.