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Finding the Third Proportional to 374,122 and 905,713

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Solution

The third proportional to 374,122 and 905,713 is: 2,192,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,122 : 905,713 = 905,713 : x
  2. Step 2: Convert to fraction form
    374,122/905,713 = 905,713/x
  3. Step 3: Cross multiply
    374,122x = 905,713 × 905,713
  4. Step 4: Simplify right side
    374,122x = 820,316,038,369
  5. Step 5: Solve for x
    x = 820,316,038,369/374,122
  6. Step 6: Final answer
    x = 2,192,643.14

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.