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Finding the Third Proportional to 429,698 and 935,860

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Solution

The third proportional to 429,698 and 935,860 is: 2,038,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,698 : 935,860 = 935,860 : x
  2. Step 2: Convert to fraction form
    429,698/935,860 = 935,860/x
  3. Step 3: Cross multiply
    429,698x = 935,860 × 935,860
  4. Step 4: Simplify right side
    429,698x = 875,833,939,600
  5. Step 5: Solve for x
    x = 875,833,939,600/429,698
  6. Step 6: Final answer
    x = 2,038,254.63

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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.