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Finding the Third Proportional to 426,546 and 987,468

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Solution

The third proportional to 426,546 and 987,468 is: 2,286,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,546 : 987,468 = 987,468 : x
  2. Step 2: Convert to fraction form
    426,546/987,468 = 987,468/x
  3. Step 3: Cross multiply
    426,546x = 987,468 × 987,468
  4. Step 4: Simplify right side
    426,546x = 975,093,051,024
  5. Step 5: Solve for x
    x = 975,093,051,024/426,546
  6. Step 6: Final answer
    x = 2,286,020.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.