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Finding the Third Proportional to 932,824 and 1,440,462

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Solution

The third proportional to 932,824 and 1,440,462 is: 2,224,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,824 : 1,440,462 = 1,440,462 : x
  2. Step 2: Convert to fraction form
    932,824/1,440,462 = 1,440,462/x
  3. Step 3: Cross multiply
    932,824x = 1,440,462 × 1,440,462
  4. Step 4: Simplify right side
    932,824x = 2,074,930,773,444
  5. Step 5: Solve for x
    x = 2,074,930,773,444/932,824
  6. Step 6: Final answer
    x = 2,224,353.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.