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Finding the Third Proportional to 610,824 and 932,031

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Solution

The third proportional to 610,824 and 932,031 is: 1,422,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,824 : 932,031 = 932,031 : x
  2. Step 2: Convert to fraction form
    610,824/932,031 = 932,031/x
  3. Step 3: Cross multiply
    610,824x = 932,031 × 932,031
  4. Step 4: Simplify right side
    610,824x = 868,681,784,961
  5. Step 5: Solve for x
    x = 868,681,784,961/610,824
  6. Step 6: Final answer
    x = 1,422,147.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.