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Finding the Third Proportional to 374,040 and 810,774

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Solution

The third proportional to 374,040 and 810,774 is: 1,757,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,040 : 810,774 = 810,774 : x
  2. Step 2: Convert to fraction form
    374,040/810,774 = 810,774/x
  3. Step 3: Cross multiply
    374,040x = 810,774 × 810,774
  4. Step 4: Simplify right side
    374,040x = 657,354,479,076
  5. Step 5: Solve for x
    x = 657,354,479,076/374,040
  6. Step 6: Final answer
    x = 1,757,444.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.