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Finding the Third Proportional to 429,678 and 935,820

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Solution

The third proportional to 429,678 and 935,820 is: 2,038,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,678 : 935,820 = 935,820 : x
  2. Step 2: Convert to fraction form
    429,678/935,820 = 935,820/x
  3. Step 3: Cross multiply
    429,678x = 935,820 × 935,820
  4. Step 4: Simplify right side
    429,678x = 875,759,072,400
  5. Step 5: Solve for x
    x = 875,759,072,400/429,678
  6. Step 6: Final answer
    x = 2,038,175.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.