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Finding the Third Proportional to 494,040 and 1,064,292

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Solution

The third proportional to 494,040 and 1,064,292 is: 2,292,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,040 : 1,064,292 = 1,064,292 : x
  2. Step 2: Convert to fraction form
    494,040/1,064,292 = 1,064,292/x
  3. Step 3: Cross multiply
    494,040x = 1,064,292 × 1,064,292
  4. Step 4: Simplify right side
    494,040x = 1,132,717,461,264
  5. Step 5: Solve for x
    x = 1,132,717,461,264/494,040
  6. Step 6: Final answer
    x = 2,292,764.68

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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.