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Finding the Third Proportional to 635,358 and 987,889

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Solution

The third proportional to 635,358 and 987,889 is: 1,536,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,358 : 987,889 = 987,889 : x
  2. Step 2: Convert to fraction form
    635,358/987,889 = 987,889/x
  3. Step 3: Cross multiply
    635,358x = 987,889 × 987,889
  4. Step 4: Simplify right side
    635,358x = 975,924,676,321
  5. Step 5: Solve for x
    x = 975,924,676,321/635,358
  6. Step 6: Final answer
    x = 1,536,023.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.