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Finding the Third Proportional to 458,794 and 987,896

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Solution

The third proportional to 458,794 and 987,896 is: 2,127,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,794 : 987,896 = 987,896 : x
  2. Step 2: Convert to fraction form
    458,794/987,896 = 987,896/x
  3. Step 3: Cross multiply
    458,794x = 987,896 × 987,896
  4. Step 4: Simplify right side
    458,794x = 975,938,506,816
  5. Step 5: Solve for x
    x = 975,938,506,816/458,794
  6. Step 6: Final answer
    x = 2,127,182.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.