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Finding the Third Proportional to 429,186 and 930,048

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Solution

The third proportional to 429,186 and 930,048 is: 2,015,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,186 : 930,048 = 930,048 : x
  2. Step 2: Convert to fraction form
    429,186/930,048 = 930,048/x
  3. Step 3: Cross multiply
    429,186x = 930,048 × 930,048
  4. Step 4: Simplify right side
    429,186x = 864,989,282,304
  5. Step 5: Solve for x
    x = 864,989,282,304/429,186
  6. Step 6: Final answer
    x = 2,015,418.22

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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.