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Finding the Third Proportional to 965,698 and 2,120,436

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Solution

The third proportional to 965,698 and 2,120,436 is: 4,655,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,698 : 2,120,436 = 2,120,436 : x
  2. Step 2: Convert to fraction form
    965,698/2,120,436 = 2,120,436/x
  3. Step 3: Cross multiply
    965,698x = 2,120,436 × 2,120,436
  4. Step 4: Simplify right side
    965,698x = 4,496,248,830,096
  5. Step 5: Solve for x
    x = 4,496,248,830,096/965,698
  6. Step 6: Final answer
    x = 4,655,957.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.